-
1
-
-
0346226612
-
Quasiconvex duality, Optimization and Optimal Control
-
Springer-Verlag, Berlin
-
M. ATTEIA AND A. EL QORTOBI, Quasiconvex duality, Optimization and Optimal Control, Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin, 30 (1981), pp. 3-8.
-
(1981)
Lecture Notes in Control and Information Sciences
, vol.30
, pp. 3-8
-
-
Atteia, M.1
Qortobi, A.E.L.2
-
2
-
-
84967708668
-
Generalized gradient and applications
-
F. H. CLARKE, Generalized gradient and applications, Trans. Amer. Math. Soc., 205 (1975), pp. 247-262.
-
(1975)
Trans. Amer. Math. Soc.
, vol.205
, pp. 247-262
-
-
Clarke, F.H.1
-
3
-
-
0011336095
-
Conjugacy in quasi-convex analysis
-
Convex Analysis and Its Applications, Springer-Verlag, Berlin
-
J.-P. CROUZEIX, Conjugacy in quasi-convex analysis, Convex Analysis and Its Applications, Lecture Notes in Economics and Math. Systems, Springer-Verlag, Berlin, 144 (1977), pp. 66-99.
-
(1977)
Lecture Notes in Economics and Math. Systems
, vol.144
, pp. 66-99
-
-
Crouzeix, J.-P.1
-
4
-
-
0002424862
-
m
-
S. Schaible, ed., Academic Press, New York
-
m, General Concavity in Optimization and Economics, S. Schaible, ed., Academic Press, New York, 1981, pp. 109-129.
-
(1981)
General Concavity in Optimization and Economics
, pp. 109-129
-
-
-
5
-
-
34249922645
-
Algorithms for generalized fractional programming
-
J.-P. CROUZEIX AND J. A. FERLAND, Algorithms for generalized fractional programming, Math. Programming, 52 (1991), pp. 191-207.
-
(1991)
Math. Programming
, vol.52
, pp. 191-207
-
-
Crouzeix, J.-P.1
Ferland, J.A.2
-
6
-
-
0001918140
-
On the basic theorem of complementarity
-
B. C. EAVES, On the basic theorem of complementarity, Math. Programming, 1 (1971), pp. 68-75.
-
(1971)
Math. Programming
, vol.1
, pp. 68-75
-
-
Eaves, B.C.1
-
7
-
-
0001362243
-
Computing Kakutani fixed points
-
_, Computing Kakutani fixed points, SIAM J. Appl. Math., 21 (1971), pp. 236-244.
-
(1971)
SIAM J. Appl. Math.
, vol.21
, pp. 236-244
-
-
-
9
-
-
0001661117
-
Surrogate mathematical programming
-
H. P. GREENBERG AND W. P. PIERSKALLA, Surrogate mathematical programming, Oper. Res., 18 (1970), pp. 924-939.
-
(1970)
Oper. Res.
, vol.18
, pp. 924-939
-
-
Greenberg, H.P.1
Pierskalla, W.P.2
-
10
-
-
0000378326
-
Quasiconjugate functions and surrogate duality
-
-, Quasiconjugate functions and surrogate duality, Cahiers Centre Etudes Rech. Oper., 15 (1973), pp. 437-448.
-
(1973)
Cahiers Centre Etudes Rech. Oper.
, vol.15
, pp. 437-448
-
-
-
11
-
-
0002230336
-
Bounds for functionally convex optimal control problems
-
M. A. HANSON, Bounds for functionally convex optimal control problems, J. Math. Anal. Appl., 8 (1964), pp. 84-89.
-
(1964)
J. Math. Anal. Appl.
, vol.8
, pp. 84-89
-
-
Hanson, M.A.1
-
12
-
-
34250523511
-
On some nonlinear differential-functional equations
-
P. HARTMAN AND G. STAMPACCHIA, On some nonlinear differential-functional equations, Acta Mathematica, 115 (1966), pp. 271-310.
-
(1966)
Acta Mathematica
, vol.115
, pp. 271-310
-
-
Hartman, P.1
Stampacchia, G.2
-
13
-
-
0001780949
-
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions
-
J. Ponstain, ed., Springer-Verlag, Berlin
-
J.-B. HlRIART-URRUTY, Generalized differentiability, duality and optimization for problems dealing with differences of convex functions, Lecture Notes in Economic and Math. Sys-tems, J. Ponstain, ed., Springer-Verlag, Berlin, 256 (1984), pp. 37-70.
-
(1984)
Lecture Notes in Economic and Math. Sys-tems
, vol.256
, pp. 37-70
-
-
Hlriart-Urruty, J.-B.1
-
14
-
-
84950272002
-
A generalization of Brower's fixed point theorem
-
S. KAKUTANI, A generalization of Brower's fixed point theorem, Duke Math. J., 8 (1941), pp. 457-459.
-
(1941)
Duke Math. J.
, vol.8
, pp. 457-459
-
-
Kakutani, S.1
-
15
-
-
0001680031
-
The complementary problem
-
S. KARAMARDIAN, The complementary problem, Math. Programming, 2 (1971), pp. 107-129.
-
(1971)
Math. Programming
, vol.2
, pp. 107-129
-
-
Karamardian, S.1
-
16
-
-
0011282597
-
A complementarity pivoting approach to parametric nonlinear programming
-
M. KOJIMA, A complementarity pivoting approach to parametric nonlinear programming, Math. Oper. Res., 4 (1979), pp. 464-477.
-
(1979)
Math. Oper. Res.
, vol.4
, pp. 464-477
-
-
Kojima, M.1
-
17
-
-
0002416157
-
Strongly stable stationary solutions in nonlinear programs
-
S. M. Robinson, ed., Academic Press, New York
-
-, Strongly stable stationary solutions in nonlinear programs, Analysis and computation of fixed points, S. M. Robinson, ed., Academic Press, New York, 1980, pp. 93-138.
-
(1980)
Analysis and Computation of Fixed Points
, pp. 93-138
-
-
-
18
-
-
0003212154
-
A unified approach to interior point algorithms for linear complementarity problems
-
Springer-Verlag
-
M. KOJIMA, N. MEGIDDO, T. NOMA, AND A. YOSISHE, A unified approach to interior point algorithms for linear complementarity problems, Lecture Notes in Computer Science 538, Springer-Verlag, 1991.
-
(1991)
Lecture Notes in Computer Science
, vol.538
-
-
Kojima, M.1
Megiddo, N.2
Noma, T.3
Yosishe, A.4
-
19
-
-
0000433634
-
Pseudo-convex functions
-
O. L. MANGASARIAN, Pseudo-convex functions, SIAM J. Control, 3 (1965), pp. 181-190.
-
(1965)
SIAM J. Control
, vol.3
, pp. 181-190
-
-
Mangasarian, O.L.1
-
20
-
-
0003775298
-
-
McGraw-Hill, New York, New York
-
_, Nonlinear programming, McGraw-Hill, New York, New York, 1969.
-
(1969)
Nonlinear Programming
-
-
-
22
-
-
0011297049
-
A generalized concept of conjugation
-
Optimization Theory and Applications, A. Auslander, J.-B. Hiriart-Urruty, and W. Oetlli, eds., Marcel Dekkcr, New York
-
_, A generalized concept of conjugation, Optimization Theory and Applications, Lecture Notes in Pure and Appl. Math., A. Auslander, J.-B. Hiriart-Urruty, and W. Oetlli, eds., Marcel Dekkcr, New York, 1983, pp. 45-89.
-
(1983)
Lecture Notes in Pure and Appl. Math.
, pp. 45-89
-
-
-
23
-
-
84963178874
-
Quasiconvex duality theory by generalized conjugation methods
-
J. E. MARTINEZ-LEGAZ, Quasiconvex duality theory by generalized conjugation methods, Optimization, 19 (1988), pp. 603-652.
-
(1988)
Optimization
, vol.19
, pp. 603-652
-
-
Martinez-Legaz, J.E.1
-
24
-
-
0000176639
-
The direct power of adjacent vertex programming methods
-
B. MARTOS, The direct power of adjacent vertex programming methods, Management Science, 12 (1965), pp. 241-252.
-
(1965)
Management Science
, vol.12
, pp. 241-252
-
-
Martos, B.1
-
25
-
-
0011376364
-
Optimality condition involving generalized convex mappings
-
S. Schaible and W. T. Ziemba, eds., Academic Press, New York
-
W. OETTLI, Optimality condition involving generalized convex mappings, Generalized Concavity in Optimization and Economics, S. Schaible and W. T. Ziemba, eds., Academic Press, New York, 1981, pp. 227-238.
-
(1981)
Generalized Concavity in Optimization and Economics
, pp. 227-238
-
-
Oettli, W.1
-
26
-
-
84934792657
-
Optimality conditions for programming problems involving multivalued mappings
-
B. Korte, ed., North-Holland Publishing Company
-
_, Optimality conditions for programming problems involving multivalued mappings, Applied Mathematics, B. Korte, ed., North-Holland Publishing Company, 1982, pp. 196-226.
-
(1982)
Applied Mathematics
, pp. 196-226
-
-
-
27
-
-
0021504216
-
Conjugacy in quasi-convex programming
-
U. PASSY AND E. Z. PRISMAN, Conjugacy in quasi-convex programming, Math. Programming, 30 (1984), pp. 121-146.
-
(1984)
Math. Programming
, vol.30
, pp. 121-146
-
-
Passy, U.1
Prisman, E.Z.2
-
28
-
-
0022094245
-
A convex-like duality scheme for quasi-convex programs
-
_, A convex-like duality scheme for quasi-convex programs, Math. Programming, 32 (1985), pp. 278-300.
-
(1985)
Math. Programming
, vol.32
, pp. 278-300
-
-
-
29
-
-
0011053984
-
Another duality scheme for quasi-convex problems
-
K. H. Hoffman, J.-B. Hiriart-Urruty, C. Lemarechal, and J. Zowe, eds., Birkhauser-Verlag, Basel, Boston
-
J.-P. PENOT AND M. VOLLE, Another duality scheme for quasi-convex problems, Trends in Math. Optim., K. H. Hoffman, J.-B. Hiriart-Urruty, C. Lemarechal, and J. Zowe, eds., Birkhauser-Verlag, Basel, Boston, 1988, pp. 259-275.
-
(1988)
Trends in Math. Optim.
, pp. 259-275
-
-
Penot, J.-P.1
Volle, M.2
-
30
-
-
0000609627
-
On quasi-convex duality
-
_, On quasi-convex duality, Math. Oper. Res., 4 (1990), pp. 597-625.
-
(1990)
Math. Oper. Res.
, vol.4
, pp. 597-625
-
-
-
31
-
-
0000056025
-
Generalized equations and their solutions, Part I: Basic theory
-
S. M. ROBINSON, Generalized equations and their solutions, Part I: Basic theory, Math. Prog. Studies, 10 (1979), pp. 128-141.
-
(1979)
Math. Prog. Studies
, vol.10
, pp. 128-141
-
-
Robinson, S.M.1
-
32
-
-
0002939936
-
Generalized equations
-
The State of the Art Bonn 1982, A. Bachem, M. Grotschel, and B. Korte, eds.
-
_, Generalized equations, Mathematical Programming, The State of the Art Bonn 1982, A. Bachem, M. Grotschel, and B. Korte, eds., 1983, pp. 346-367.
-
(1983)
Mathematical Programming
, pp. 346-367
-
-
-
33
-
-
0004267646
-
-
Princeton Academic Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex analysis, Princeton Academic Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
34
-
-
0016943716
-
Fractional programming, II: OTI Dinkelbach's algorithm
-
S. SCHAIBLE, Fractional programming, II: OTI Dinkelbach's algorithm, Management Science, 22 (1976), pp. 868-873.
-
(1976)
Management Science
, vol.22
, pp. 868-873
-
-
Schaible, S.1
-
37
-
-
11544368980
-
Generalized convexity, functional hulls and applications
-
Selected Topics in Operations Research and Mathematical Economics, Lecture Notes in Economics and Math. Systems, Springer-Verlag, New York
-
_, Generalized convexity, functional hulls and applications, Selected Topics in Operations Research and Mathematical Economics, Proc. 8th Symp. Oper. Res., Karlsuhe, August 1983, Lecture Notes in Economics and Math. Systems, 226, Springer-Verlag, New York, pp. 49-79, 1984.
-
(1984)
Proc. 8th Symp. Oper. Res., Karlsuhe, August 1983
, vol.226
, pp. 49-79
-
-
-
38
-
-
0022717321
-
A general theory of dual optimization problems
-
_, A general theory of dual optimization problems, J. Math. Anal. Appl., 116 (1986), pp. 77-130.
-
(1986)
J. Math. Anal. Appl.
, vol.116
, pp. 77-130
-
-
-
40
-
-
0001908740
-
OTI generalized pseudoconvex functions
-
Y. TANAKA, M. FUKUSHIMA, AND T. IBARAKI, OTI generalized pseudoconvex functions, J. Math. Anal. Appl., 144 (1989), pp. 342-355.
-
(1989)
J. Math. Anal. Appl.
, vol.144
, pp. 342-355
-
-
Tanaka, Y.1
Fukushima, M.2
Ibaraki, T.3
-
41
-
-
0001515574
-
Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications
-
P. T. THACH, Quasiconjugates of functions, duality relationship between quasiconvex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications, J. Math. Anal. Appl., 159 (1991), pp. 299-322.
-
(1991)
J. Math. Anal. Appl.
, vol.159
, pp. 299-322
-
-
Thach, P.T.1
-
42
-
-
0011280208
-
A nonconvex duality with a zero gap and applications
-
_, A nonconvex duality with a zero gap and applications, SIAM J. Optim., 4 (1994), pp. 44-64.
-
(1994)
SIAM J. Optim.
, vol.4
, pp. 44-64
-
-
-
43
-
-
21344494857
-
Global optimality criteria and a duality with a zero gap in nonconvex optimization problems
-
_, Global optimality criteria and a duality with a zero gap in nonconvex optimization problems, SIAM J. Math. Anal., 24 (1993), pp. 1537-1556.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 1537-1556
-
-
-
44
-
-
0016049352
-
Blocking and antiblocking sets
-
J. TIND, Blocking and antiblocking sets, Math. Programming, 6 (1971), pp. 157-166.
-
(1971)
Math. Programming
, vol.6
, pp. 157-166
-
-
Tind, J.1
-
45
-
-
0011320633
-
Sur les inegalites lineaires
-
H. TUY, Sur les inegalites lineaires, Colloquium Mathematicum, 13 (1964), pp. 107-123.
-
(1964)
Colloquium Mathematicum
, vol.13
, pp. 107-123
-
-
Tuy, H.1
-
46
-
-
34250267180
-
Pivotal methods for computing equilibrium points: Unified approach and new restart algorithm
-
_, Pivotal methods for computing equilibrium points: Unified approach and new restart algorithm, Math. Programming, 16 (1979), pp. 210-227.
-
(1979)
Math. Programming
, vol.16
, pp. 210-227
-
-
-
47
-
-
0020734958
-
A new variable dimension algorithm for the fixed point problem
-
Y. YAMAMOTO, A new variable dimension algorithm for the fixed point problem, Math. Programming, 25 (1983), pp. 329-342.
-
(1983)
Math. Programming
, vol.25
, pp. 329-342
-
-
Yamamoto, Y.1
-
48
-
-
0021632522
-
A variable dimension fixed point algorithm and the orientation of simplices
-
_, A variable dimension fixed point algorithm and the orientation of simplices, Math. Programming, 30 (1984), pp. 301-312.
-
(1984)
Math. Programming
, vol.30
, pp. 301-312
-
-
-
49
-
-
0011291109
-
A unifying model based on retraction for fixed point algorithms
-
_, A unifying model based on retraction for fixed point algorithms, Math. Programming, 28 (1984), pp. 192-197.
-
(1984)
Math. Programming
, vol.28
, pp. 192-197
-
-
|