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Volumn 67, Issue 12, 2007, Pages 3373-3383

The uniqueness of endpoints for set-valued dynamical systems of contractions of Meir-Keeler type in uniform spaces

Author keywords

Closed map; Generalized sequence of iterations; Locally convex space; Metric space; Set valued contraction of Meir Keeler type; Set valued dynamical system; Uniform space; Uniqueness of endpoint and fixed point; Upper semicontinuous map

Indexed keywords

BANACH SPACES; CONVERGENCE OF NUMERICAL METHODS; GRAPH THEORY; ITERATIVE METHODS;

EID: 34548013970     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.10.019     Document Type: Article
Times cited : (13)

References (39)
  • 1
    • 8744278188 scopus 로고    scopus 로고
    • Fixed point theory for generalized contractive maps of Meir-Keeler type
    • Agarwal R.P., O'Regan D., and Shahzad N. Fixed point theory for generalized contractive maps of Meir-Keeler type. Math. Nachr. 276 (2004) 3-22
    • (2004) Math. Nachr. , vol.276 , pp. 3-22
    • Agarwal, R.P.1    O'Regan, D.2    Shahzad, N.3
  • 3
    • 84966202129 scopus 로고
    • Fixed points and stationary points of dissipative multivalued maps
    • Aubin J.P., and Siegel J. Fixed points and stationary points of dissipative multivalued maps. Proc. Amer. Math. Soc. 78 (1980) 391-398
    • (1980) Proc. Amer. Math. Soc. , vol.78 , pp. 391-398
    • Aubin, J.P.1    Siegel, J.2
  • 4
    • 0000307498 scopus 로고
    • Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrales
    • Banach S. Sur les opérations dans les ensembles abstraits et leurs applications aux équations intégrales. Fund. Math. 3 (1922) 133-181
    • (1922) Fund. Math. , vol.3 , pp. 133-181
    • Banach, S.1
  • 7
    • 0002166052 scopus 로고
    • On the convergence of successive approximations for nonlinear equations
    • Browder F.E. On the convergence of successive approximations for nonlinear equations. Indag. Math. 30 (1968) 27-35
    • (1968) Indag. Math. , vol.30 , pp. 27-35
    • Browder, F.E.1
  • 8
    • 21344466167 scopus 로고    scopus 로고
    • Integral exquations, implicit functions, and fixed points
    • Burton T.A. Integral exquations, implicit functions, and fixed points. Proc. Amer. Math. Soc. 124 (1996) 2383-2390
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 2383-2390
    • Burton, T.A.1
  • 9
    • 34548025467 scopus 로고    scopus 로고
    • An extension to multifunctions of the Keeler-Meir's fixed point theorem
    • Cardinali T., and Rubbioni P. An extension to multifunctions of the Keeler-Meir's fixed point theorem. Fixed Point Theory 7 (2006) 23-36
    • (2006) Fixed Point Theory , vol.7 , pp. 23-36
    • Cardinali, T.1    Rubbioni, P.2
  • 10
    • 0042585037 scopus 로고
    • Remarks on a generalization of Banach's principle of contraction mappings
    • Chu S.C., and Diaz J.B. Remarks on a generalization of Banach's principle of contraction mappings. J. Math. Anal. Appl. 2 (1965) 440-446
    • (1965) J. Math. Anal. Appl. , vol.2 , pp. 440-446
    • Chu, S.C.1    Diaz, J.B.2
  • 11
    • 0346182272 scopus 로고
    • Weakly contractive maps and elementary domain invariance theorems
    • Dugundji J., and Granas A. Weakly contractive maps and elementary domain invariance theorems. Bull. Greek Math. Soc. 19 (1978) 141-151
    • (1978) Bull. Greek Math. Soc. , vol.19 , pp. 141-151
    • Dugundji, J.1    Granas, A.2
  • 12
    • 84963019042 scopus 로고
    • On fixed and periodic points under contractive mappings
    • Edelstein M. On fixed and periodic points under contractive mappings. J. London Math. Soc. 37 (1962) 74-79
    • (1962) J. London Math. Soc. , vol.37 , pp. 74-79
    • Edelstein, M.1
  • 13
    • 0016335271 scopus 로고
    • An improved criterion for fixed points of contractions mappings
    • Geraghty M.A. An improved criterion for fixed points of contractions mappings. J. Math. Anal. Appl. 48 (1974) 811-817
    • (1974) J. Math. Anal. Appl. , vol.48 , pp. 811-817
    • Geraghty, M.A.1
  • 15
    • 4243417791 scopus 로고
    • Equivalent conditions and a new fixed point theorem in the theory of contractive type mappings
    • Hegedüs M., and Szilágyi T. Equivalent conditions and a new fixed point theorem in the theory of contractive type mappings. Math. Japon. 25 (1980) 147-157
    • (1980) Math. Japon. , vol.25 , pp. 147-157
    • Hegedüs, M.1    Szilágyi, T.2
  • 16
    • 0039699333 scopus 로고
    • Equivalent conditions and the Meir-Keeler type theorems
    • Jachymski J. Equivalent conditions and the Meir-Keeler type theorems. J. Math. Anal. Appl. 194 (1995) 293-303
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 293-303
    • Jachymski, J.1
  • 17
    • 0037439596 scopus 로고    scopus 로고
    • Fixed points of asymptotic contractions
    • Kirk W.A. Fixed points of asymptotic contractions. J. Math. Anal. Appl. 277 (2003) 645-650
    • (2003) J. Math. Anal. Appl. , vol.277 , pp. 645-650
    • Kirk, W.A.1
  • 20
    • 34247589213 scopus 로고
    • Equivalent Cauchy sequences and contractive fixed points in metric spaces
    • Leader S. Equivalent Cauchy sequences and contractive fixed points in metric spaces. Studia Math. 76 (1983) 63-67
    • (1983) Studia Math. , vol.76 , pp. 63-67
    • Leader, S.1
  • 21
    • 0035480436 scopus 로고    scopus 로고
    • On characterization of Meir-Keeler contractive maps
    • Lim T.C. On characterization of Meir-Keeler contractive maps. Nonlinear Anal. 46 (2001) 113-120
    • (2001) Nonlinear Anal. , vol.46 , pp. 113-120
    • Lim, T.C.1
  • 22
    • 0011728646 scopus 로고
    • Integrable solution of functional equations
    • Matkowski J. Integrable solution of functional equations. Dissertationes Math. 127 (1975)
    • (1975) Dissertationes Math. , vol.127
    • Matkowski, J.1
  • 23
    • 0001223129 scopus 로고
    • A theorem on contraction mappings
    • Meir A., and Keeler E. A theorem on contraction mappings. J. Math. Anal. Appl. 28 (1969) 326-329
    • (1969) J. Math. Anal. Appl. , vol.28 , pp. 326-329
    • Meir, A.1    Keeler, E.2
  • 24
    • 28044446381 scopus 로고
    • Contractions and completely continuous mappings
    • Mukherjea A. Contractions and completely continuous mappings. Nonlinear Anal. 1 (1977) 235-247
    • (1977) Nonlinear Anal. , vol.1 , pp. 235-247
    • Mukherjea, A.1
  • 25
    • 0000868056 scopus 로고
    • Extensions of a fixed point theorem of Meir and Keeler
    • Park S., and Bae J.S. Extensions of a fixed point theorem of Meir and Keeler. Ark. Mat. 19 (1981) 223-228
    • (1981) Ark. Mat. , vol.19 , pp. 223-228
    • Park, S.1    Bae, J.S.2
  • 26
    • 34548029617 scopus 로고
    • Extensions of the weak contractions of Dugandji and Granas
    • Park S., and Kim W.K. Extensions of the weak contractions of Dugandji and Granas. J. Korean Math. Soc. 21 (1984) 1-7
    • (1984) J. Korean Math. Soc. , vol.21 , pp. 1-7
    • Park, S.1    Kim, W.K.2
  • 27
    • 0004050907 scopus 로고
    • Meir-Keeler type contractive conditions
    • Park S., and Rhoades B.E. Meir-Keeler type contractive conditions. Math. Japon. 26 (1981) 13-20
    • (1981) Math. Japon. , vol.26 , pp. 13-20
    • Park, S.1    Rhoades, B.E.2
  • 28
    • 28844507797 scopus 로고    scopus 로고
    • Fixed point theorems in metric spaces
    • Proinov P.D. Fixed point theorems in metric spaces. Nonlinear Anal. 64 (2006) 546-557
    • (2006) Nonlinear Anal. , vol.64 , pp. 546-557
    • Proinov, P.D.1
  • 29
    • 84966234649 scopus 로고
    • A note on contractive mappings
    • Rakotch E. A note on contractive mappings. Proc. Amer. Math. Soc. 13 (1962) 459-465
    • (1962) Proc. Amer. Math. Soc. , vol.13 , pp. 459-465
    • Rakotch, E.1
  • 30
    • 0002114360 scopus 로고
    • Fixed points of contractive functions
    • Reich S. Fixed points of contractive functions. Boll. Unione Mat. Ital. 5 4 (1972) 26-42
    • (1972) Boll. Unione Mat. Ital. , vol.5 , Issue.4 , pp. 26-42
    • Reich, S.1
  • 31
    • 0025399811 scopus 로고
    • On generalizations of the Meir-Keeler type contraction maps
    • Rhoades B.E., Park S., and Moon K.B. On generalizations of the Meir-Keeler type contraction maps. J. Math. Anal. Appl. 146 (1990) 482-494
    • (1990) J. Math. Anal. Appl. , vol.146 , pp. 482-494
    • Rhoades, B.E.1    Park, S.2    Moon, K.B.3
  • 32
    • 30144439704 scopus 로고    scopus 로고
    • Fixed-point theorem for asymptotic contractions of Meir-Keeler type in complete metric spaces
    • Suzuki T. Fixed-point theorem for asymptotic contractions of Meir-Keeler type in complete metric spaces. Nonlinear Anal. 64 (2006) 971-978
    • (2006) Nonlinear Anal. , vol.64 , pp. 971-978
    • Suzuki, T.1
  • 33
    • 34247364463 scopus 로고
    • The University of Queensland, Australia
    • Tarafdar E., and Vyborny R. A Generalized (Multivalued) Contraction Mapping Principle. Res. Rep. Pure Math. vol. 54 (1976), The University of Queensland, Australia
    • (1976) Res. Rep. Pure Math. , vol.54
    • Tarafdar, E.1    Vyborny, R.2
  • 34
    • 34548014185 scopus 로고
    • A generalization of Banach's contractions principle
    • Tasković M.R. A generalization of Banach's contractions principle. Publ. Inst. Math. (Beograd) (N.S.) 23 37 (1978) 171-191
    • (1978) Publ. Inst. Math. (Beograd) (N.S.) , vol.23 , Issue.37 , pp. 171-191
    • Tasković, M.R.1
  • 35
    • 0009649118 scopus 로고
    • Remarks on a paper by F. Browder about contraction
    • Walter W. Remarks on a paper by F. Browder about contraction. Nonlinear Anal. 5 (1981) 21-25
    • (1981) Nonlinear Anal. , vol.5 , pp. 21-25
    • Walter, W.1
  • 36
    • 33845870951 scopus 로고    scopus 로고
    • Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces
    • Włodarczyk K., Klim D., and Plebaniak R. Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces. J. Math. Anal. Appl. 328 (2007) 46-57
    • (2007) J. Math. Anal. Appl. , vol.328 , pp. 46-57
    • Włodarczyk, K.1    Klim, D.2    Plebaniak, R.3
  • 37
    • 34548043126 scopus 로고    scopus 로고
    • K. Włodarczyk, C. Obczyński, R. Plebaniak, Endpoints of set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and strict contractions in uniform spaces, Nonlinear Anal. (in press)
  • 38
    • 33645088203 scopus 로고    scopus 로고
    • Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces
    • Włodarczyk K., Obczyński C., and Wardowski D. Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces. J. Math. Anal. Appl. 318 (2006) 772-780
    • (2006) J. Math. Anal. Appl. , vol.318 , pp. 772-780
    • Włodarczyk, K.1    Obczyński, C.2    Wardowski, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.