-
1
-
-
0002057574
-
On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces
-
J. B. Baillon, R. E. Bruck, and S. Reich, On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces, Houston J. Math. 4 (1978), no. 1, 1-9.
-
(1978)
Houston J. Math.
, vol.4
, Issue.1
, pp. 1-9
-
-
Baillon, J.B.1
Bruck, R.E.2
Reich, S.3
-
2
-
-
84941275804
-
A relation between pointwise convergence of functions and convergence of functionals
-
H. Brézis and E. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc. 88 (1983), no. 3, 486-490.
-
(1983)
Proc. Amer. Math. Soc.
, vol.88
, Issue.3
, pp. 486-490
-
-
Brézis, H.1
Lieb, E.2
-
3
-
-
57149136888
-
The solution by iteration of nonlinear functional equations in Banach spaces
-
E E. Browder and W. V. Petryshyn, The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571-575.
-
(1966)
Bull. Amer. Math. Soc.
, vol.72
, pp. 571-575
-
-
Browder, E.E.1
Petryshyn, W.V.2
-
4
-
-
84972558718
-
Nonexpansive projections on subsets of Banach spaces
-
R. E. Bruck, Nonexpansive projections on subsets of Banach spaces, Pacific J. Math. 47 (1973), 341-355.
-
(1973)
Pacific J. Math.
, vol.47
, pp. 341-355
-
-
Bruck, R.E.1
-
5
-
-
0000468935
-
Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
-
R. E. Bruck, T. Kuczumow, and S. Reich, Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property, Colloq. Math. 65 (1993), no. 2, 169-179.
-
(1993)
Colloq. Math.
, vol.65
, Issue.2
, pp. 169-179
-
-
Bruck, R.E.1
Kuczumow, T.2
Reich, S.3
-
6
-
-
0000256894
-
Nonexpansive projections and resolvents of accretive operators in Banach spaces
-
R. E. Bruck and S. Reich, Nonexpansive projections and resolvents of accretive operators in Banach spaces, Houston J. Math. 3 (1977), no. 4, 459-470.
-
(1977)
Houston J. Math.
, vol.3
, Issue.4
, pp. 459-470
-
-
Bruck, R.E.1
Reich, S.2
-
7
-
-
0004326784
-
Asymptotic normal structure, semi-Opial property and fixed points
-
M. Budzyńska, W. Kaczor, and M. Koter-Mórgowska, Asymptotic normal structure, semi-Opial property and fixed points, Ann. Univ. Mariae Curie-Skłodowska Sect. A 50 (1996), 33-41.
-
(1996)
Ann. Univ. Mariae Curie-Skłodowska Sect. A
, vol.50
, pp. 33-41
-
-
Budzyńska, M.1
Kaczor, W.2
Koter-Mórgowska, M.3
-
8
-
-
0043047094
-
Asymptotic normal structure and the semi-Opial property
-
M. Budzyńska, W. Kaczor, M. Koter-Mórgowska, and T. Kuczumow, Asymptotic normal structure and the semi-Opial property, Nonlinear Anal. 30 (1997), no. 6, 3505-3515.
-
(1997)
Nonlinear Anal.
, vol.30
, Issue.6
, pp. 3505-3515
-
-
Budzyńska, M.1
Kaczor, W.2
Koter-Mórgowska, M.3
Kuczumow, T.4
-
9
-
-
23544455367
-
Uniform asymptotic normal structure, the uniform semi-Opial property and fixed points of asymptotically regular uniformly Lipschitzian semigroups. I
-
M. Budzyńska, T. Kuczumow, and S. Reich, Uniform asymptotic normal structure, the uniform semi-Opial property and fixed points of asymptotically regular uniformly Lipschitzian semigroups. I, Abstr. Appl. Anal. 3 (1998), no. 1-2, 133-151.
-
(1998)
Abstr. Appl. Anal.
, vol.3
, Issue.1-2
, pp. 133-151
-
-
Budzyńska, M.1
Kuczumow, T.2
Reich, S.3
-
10
-
-
23544455367
-
Uniform asymptotic normal structure, the uniform semi-Opial property, and fixed points of asymptotically regular uniformly Lipschitzian semigroups. II
-
_, Uniform asymptotic normal structure, the uniform semi-Opial property, and fixed points of asymptotically regular uniformly Lipschitzian semigroups. II, Abstr. Appl. Anal. 3 (1998), no. 3-4, 247-263.
-
(1998)
Abstr. Appl. Anal.
, vol.3
, Issue.3-4
, pp. 247-263
-
-
-
11
-
-
84962222607
-
Duality map characterisations for Opial conditions
-
T. Dalby and B. Sims, Duality map characterisations for Opial conditions, Bull. Austral. Math. Soc. 53 (1996), no. 3, 413-417.
-
(1996)
Bull. Austral. Math. Soc.
, vol.53
, Issue.3
, pp. 413-417
-
-
Dalby, T.1
Sims, B.2
-
12
-
-
0003314156
-
Sequences and Series in Banach Spaces
-
Springer-Verlag, New York
-
J. Diestel, Sequences and Series in Banach Spaces, Graduate Texts in Mathematics, vol. 92, Springer-Verlag, New York, 1984.
-
(1984)
Graduate Texts in Mathematics
, vol.92
-
-
Diestel, J.1
-
13
-
-
84966250014
-
Asymptotic behaviour of unbounded nonexpansive sequences in Banach spaces
-
B. Djafari Rouhani, Asymptotic behaviour of unbounded nonexpansive sequences in Banach spaces, Proc. Amer. Math. Soc. 117 (1993), no. 4, 951-956.
-
(1993)
Proc. Amer. Math. Soc.
, vol.117
, Issue.4
, pp. 951-956
-
-
Djafari Rouhani, B.1
-
14
-
-
84966262360
-
Asymptotic behaviour of firmly nonexpansive sequences
-
_, Asymptotic behaviour of firmly nonexpansive sequences, Proc. Amer. Math. Soc. 123 (1995), no. 3, 771-777.
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, Issue.3
, pp. 771-777
-
-
-
15
-
-
0041897807
-
Asymptotic properties of nonexpansive iterations in reflexive spaces
-
B. Djafari Rouhani and W. A. Kirk, Asymptotic properties of nonexpansive iterations in reflexive spaces, J. Math. Anal. Appl. 236 (1999), no. 2, 281-289.
-
(1999)
J. Math. Anal. Appl.
, vol.236
, Issue.2
, pp. 281-289
-
-
Djafari Rouhani, B.1
Kirk, W.A.2
-
16
-
-
0041591594
-
Random products of nonexpansive mappings in spaces with the Opial property
-
Banach Spaces (Mérida, 1992), American Mathematical Society, Rhode Island
-
J. M. Dye, T. Kuczumow, P.-K. Lin, and S. Reich, Random products of nonexpansive mappings in spaces with the Opial property, Banach Spaces (Mérida, 1992), Contemp. Math., vol. 144, American Mathematical Society, Rhode Island, 1993, pp. 87-93.
-
(1993)
Contemp. Math.
, vol.144
, pp. 87-93
-
-
Dye, J.M.1
Kuczumow, T.2
Lin, P.-K.3
Reich, S.4
-
17
-
-
0000274159
-
Convergence of unrestricted products of nonexpansive mappings in spaces with the Opial property
-
_, Convergence of unrestricted products of nonexpansive mappings in spaces with the Opial property, Nonlinear Anal. 26 (1996), no. 4, 767-773.
-
(1996)
Nonlinear Anal.
, vol.26
, Issue.4
, pp. 767-773
-
-
-
18
-
-
0007192106
-
A remark on a theorem of M. A. Krasnoselski
-
M. Edelstein, A remark on a theorem of M. A. Krasnoselski, Amer. Math. Monthly 73 (1966), 509-510.
-
(1966)
Amer. Math. Monthly
, vol.73
, pp. 509-510
-
-
Edelstein, M.1
-
19
-
-
0000087385
-
Nonexpansive mappings, asymptotic regularity and successive approximations
-
M. Edelstein and R. C. O'Brien, Nonexpansive mappings, asymptotic regularity and successive approximations, J. London Math. Soc. (2) 17 (1978), no. 3, 547-554.
-
(1978)
J. London Math. Soc. (2)
, vol.17
, Issue.3
, pp. 547-554
-
-
Edelstein, M.1
O'Brien, R.C.2
-
20
-
-
0001085656
-
Iteration processes for nonexpansive mappings
-
Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982) (S. P. Singh and S. Thomeier, eds.), American Mathematical Society, Rhode Island
-
K. Goebel and W. A. Kirk, Iteration processes for nonexpansive mappings, Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982) (S. P. Singh and S. Thomeier, eds.), Contemp. Math., vol. 21, American Mathematical Society, Rhode Island, 1983, pp. 115-123.
-
(1983)
Contemp. Math.
, vol.21
, pp. 115-123
-
-
Goebel, K.1
Kirk, W.A.2
-
21
-
-
0004213043
-
Topics in Metric Fixed Point Theory
-
Cambridge University Press, Cambridge
-
_, Topics in Metric Fixed Point Theory, Cambridge Studies in Advanced Mathematics, vol. 28, Cambridge University Press, Cambridge, 1990.
-
(1990)
Cambridge Studies in Advanced Mathematics
, vol.28
-
-
-
22
-
-
0001646414
-
Irregular convex sets with fixed-point property for nonexpansive mappings
-
K. Goebel and T. Kuczumow, Irregular convex sets with fixed-point property for nonexpansive mappings, Colloq. Math. 40 (1978/79), no. 2, 259-264.
-
(1978)
Colloq. Math.
, vol.40
, Issue.2
, pp. 259-264
-
-
Goebel, K.1
Kuczumow, T.2
-
23
-
-
0003199612
-
Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings
-
Marcel Dekker, New York
-
K. Goebel and S. Reich, Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings, Monographs and Textbooks in Pure and Applied Mathematics, vol. 83, Marcel Dekker, New York, 1984.
-
(1984)
Monographs and Textbooks in Pure and Applied Mathematics
, vol.83
-
-
Goebel, K.1
Reich, S.2
-
24
-
-
84971108606
-
Moons, bridges, birds... and nonexpansive mappings in Hilbert space
-
K. Goebel and R. Schöneberg, Moons, bridges, birds... and nonexpansive mappings in Hilbert space, Bull. Austral. Math. Soc. 17 (1977), no. 3, 463-466.
-
(1977)
Bull. Austral. Math. Soc.
, vol.17
, Issue.3
, pp. 463-466
-
-
Goebel, K.1
Schöneberg, R.2
-
25
-
-
0004334512
-
On λ-firmly nonexpansive mappings in nonconvex sets
-
Y.-M. Hong and Y.-Y. Huang, On λ-firmly nonexpansive mappings in nonconvex sets, Bull. Inst. Math. Acad. Sinica 21 (1993), no. 1, 35-42.
-
(1993)
Bull. Inst. Math. Acad. Sinica
, vol.21
, Issue.1
, pp. 35-42
-
-
Hong, Y.-M.1
Huang, Y.-Y.2
-
26
-
-
1842540561
-
Fixed point theorems for nonexpansive mappings in nonconvex sets
-
_, Fixed point theorems for nonexpansive mappings in nonconvex sets, Southeast Asian Bull. Math. 18 (1994), no. 2, 29-33.
-
(1994)
Southeast Asian Bull. Math.
, vol.18
, Issue.2
, pp. 29-33
-
-
-
27
-
-
84968499765
-
Fixed points and iteration of a nonexpansive mapping in a Banach space
-
S. Ishikawa, Fixed points and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc. 59 (1976), no. 1, 65-71.
-
(1976)
Proc. Amer. Math. Soc.
, vol.59
, Issue.1
, pp. 65-71
-
-
Ishikawa, S.1
-
28
-
-
0035420986
-
Fixed points of λ-firmly nonexpansive mappings on nonconvex sets
-
W. Kaczor, Fixed points of λ-firmly nonexpansive mappings on nonconvex sets, Nonlinear Anal. 47 (2001), 2787-2792.
-
(2001)
Nonlinear Anal.
, vol.47
, pp. 2787-2792
-
-
Kaczor, W.1
-
29
-
-
0034196372
-
A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense
-
W. Kaczor, T. Kuczumow, and S. Reich, A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense, J. Math. Anal. Appl. 246 (2000), no. 1, 1-27.
-
(2000)
J. Math. Anal. Appl.
, vol.246
, Issue.1
, pp. 1-27
-
-
Kaczor, W.1
Kuczumow, T.2
Reich, S.3
-
30
-
-
0035421844
-
A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense
-
_, A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense, Nonlinear Anal. 47 (2001), 2731-2742.
-
(2001)
Nonlinear Anal.
, vol.47
, pp. 2731-2742
-
-
-
32
-
-
0001763524
-
On uniform Opial condition and uniform Kadec-Klee property in Banach and metric spaces
-
M. A. Khamsi, On uniform Opial condition and uniform Kadec-Klee property in Banach and metric spaces, Nonlinear Anal. 26 (1996), no. 10, 1733-1748.
-
(1996)
Nonlinear Anal.
, vol.26
, Issue.10
, pp. 1733-1748
-
-
Khamsi, M.A.1
-
33
-
-
51249187633
-
Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
-
W. A. Kirk, Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346.
-
(1974)
Israel J. Math.
, vol.17
, pp. 339-346
-
-
Kirk, W.A.1
-
34
-
-
0019671007
-
Krasnosel'skiǐ's iteration process in hyperbolic space
-
_, Krasnosel'skiǐ's iteration process in hyperbolic space, Numer. Funct Anal. Optim. 4 (1981/82), no. 4, 371-381.
-
(1981)
Numer. Funct Anal. Optim.
, vol.4
, Issue.4
, pp. 371-381
-
-
-
35
-
-
0034172541
-
Nonexpansive mappings and asymptotic regularity
-
Ser. A: Theory Methods
-
_, Nonexpansive mappings and asymptotic regularity, Nonlinear Anal. 40 (2000), no. 1-8, Ser. A: Theory Methods, 323-332.
-
(2000)
Nonlinear Anal.
, vol.40
, Issue.1-8
, pp. 323-332
-
-
-
37
-
-
0001188942
-
Two remarks on the method of successive approximations
-
Russian
-
M. A. Krasnosel'skiǐ, Two remarks on the method of successive approximations, Uspehi Mat. Nauk (N.S.) 10 (1955), no. 1(63), 123-127 (Russian).
-
(1955)
Uspehi Mat. Nauk (N.S.)
, vol.10
, Issue.1-63
, pp. 123-127
-
-
Krasnosel'skiǐ, M.A.1
-
38
-
-
84968466124
-
Weak convergence theorems for nonexpansive mappings and semigroups in Banach spaces with Opial's property
-
T. Kuczumow, Weak convergence theorems for nonexpansive mappings and semigroups in Banach spaces with Opial's property, Proc. Amer. Math. Soc. 93 (1985), no. 3, 430-432.
-
(1985)
Proc. Amer. Math. Soc.
, vol.93
, Issue.3
, pp. 430-432
-
-
Kuczumow, T.1
-
39
-
-
22844454236
-
Opial's modulus and fixed points of semigroups of mappings
-
_, Opial's modulus and fixed points of semigroups of mappings, Proc. Amer. Math. Soc. 127 (1999), no. 9, 2671-2678.
-
(1999)
Proc. Amer. Math. Soc.
, vol.127
, Issue.9
, pp. 2671-2678
-
-
-
40
-
-
1842540562
-
An application of Opial's modulus to the fixed point theory of semigroups of Lipschitzian mappings
-
T. Kuczumow and S. Reich, An application of Opial's modulus to the fixed point theory of semigroups of Lipschitzian mappings, Ann. Univ. Mariae Curie-Skłodowska Sect. A 51 (1997), no. 2, 185-192.
-
(1997)
Ann. Univ. Mariae Curie-Skłodowska Sect. A
, vol.51
, Issue.2
, pp. 185-192
-
-
Kuczumow, T.1
Reich, S.2
-
41
-
-
0004301303
-
Minimal displacement of points under holomorphic mappings and fixed point properties for unions of convex sets
-
T. Kuczumow, S. Reich, and A. Stachura, Minimal displacement of points under holomorphic mappings and fixed point properties for unions of convex sets, Trans. Amer. Math. Soc. 343 (1994), no. 2, 575-586.
-
(1994)
Trans. Amer. Math. Soc.
, vol.343
, Issue.2
, pp. 575-586
-
-
Kuczumow, T.1
Reich, S.2
Stachura, A.3
-
42
-
-
84972533503
-
Asymptotic centers and nonexpansive mappings in conjugate Banach spaces
-
T.-C. Lim, Asymptotic centers and nonexpansive mappings in conjugate Banach spaces, Pacific J. Math. 90 (1980), no. 1, 135-143.
-
(1980)
Pacific J. Math.
, vol.90
, Issue.1
, pp. 135-143
-
-
Lim, T.-C.1
-
43
-
-
84968481460
-
Weak convergence of the sequence of successive approximations for nonexpansive mappings
-
Z. Opial, Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597.
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 591-597
-
-
Opial, Z.1
-
44
-
-
0000198390
-
Banach spaces with the uniform Opial property
-
S. Prus, Banach spaces with the uniform Opial property, Nonlinear Anal. 18 (1992), no. 8, 697-704.
-
(1992)
Nonlinear Anal.
, vol.18
, Issue.8
, pp. 697-704
-
-
Prus, S.1
-
45
-
-
0012229753
-
Geometrical background of metric fixed point theory
-
Kluwer Academic Publishers, Dordrecht
-
_, Geometrical background of metric fixed point theory, Handbook of Metric Fixed Point Theory (W. A. Kirk and B. Sims, eds.), Kluwer Academic Publishers, Dordrecht, 2001, pp. 93-132.
-
(2001)
Handbook of Metric Fixed Point Theory
, pp. 93-132
-
-
Kirk, W.A.1
Sims, B.2
-
46
-
-
84968513648
-
The asymptotic behavior of firmly nonexpansive mappings
-
S. Reich and I. Shafrir, The asymptotic behavior of firmly nonexpansive mappings, Proc. Amer. Math. Soc. 101 (1987), no. 2, 246-250.
-
(1987)
Proc. Amer. Math. Soc.
, vol.101
, Issue.2
, pp. 246-250
-
-
Reich, S.1
Shafrir, I.2
-
47
-
-
0004173880
-
Some results and problems in the fixed point theory for nonexpansive and pseudocontractive mappings in Hilbert-space
-
Proc. Sem., Dalhousie Univ., Halifax, N.S., 1975, Academic Press, New York
-
J. Reinermann and R. Schöneberg, Some results and problems in the fixed point theory for nonexpansive and pseudocontractive mappings in Hilbert-space, Fixed Point Theory and Its Applications (Proc. Sem., Dalhousie Univ., Halifax, N.S., 1975), Academic Press, New York, 1976, pp. 187-196.
-
(1976)
Fixed Point Theory and Its Applications
, pp. 187-196
-
-
Reinermann, J.1
Schöneberg, R.2
-
48
-
-
0012953489
-
Über die Methode sukzessiver Approximationen
-
German
-
H. Schaefer, Über die Methode sukzessiver Approximationen, Jber. Deutsch. Math.-Verein. 59 (1957), no. Abt. 1, 131-140 (German).
-
(1957)
Jber. Deutsch. Math.-verein.
, vol.59
, Issue.ABT. 1
, pp. 131-140
-
-
Schaefer, H.1
-
49
-
-
0041713825
-
A support map characterization of the Opial conditions
-
Miniconference on Linear Analysis and Function Spaces (Canberra, 1984), Austral. Nat. Univ., Canberra
-
B. Sims, A support map characterization of the Opial conditions, Miniconference on Linear Analysis and Function Spaces (Canberra, 1984), Proc. Centre Math. Anal. Austral. Nat. Univ., vol. 9, Austral. Nat. Univ., Canberra, 1985, pp. 259-264.
-
(1985)
Proc. Centre Math. Anal. Austral. Nat. Univ.
, vol.9
, pp. 259-264
-
-
Sims, B.1
-
50
-
-
84968476231
-
On firmly nonexpansive mappings
-
R. Smarzewski, On firmly nonexpansive mappings, Proc. Amer. Math. Soc. 113 (1991), no. 3, 723-725.
-
(1991)
Proc. Amer. Math. Soc.
, vol.113
, Issue.3
, pp. 723-725
-
-
Smarzewski, R.1
|