Characterizations and applications of generalized invexity and monotonicity in Asplund spaces

[1]  M. Rojas-Medar,et al.  Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces , 2004 .

[2]  Gholam Reza Jahanshahloo,et al.  Nonsmooth multiobjective optimization using limiting subdifferentials , 2007 .

[3]  Nicolae Popovici,et al.  Between quasi-convex and convex set-valued mappings , 2004, Appl. Math. Lett..

[4]  Majid Soleimani-damaneh,et al.  Multiple-objective programs in Banach spaces: Sufficiency for (proper) optimality , 2007 .

[5]  B. Mordukhovich Maximum principle in the problem of time optimal response with nonsmooth constraints PMM vol. 40, n≗ 6, 1976, pp. 1014-1023 , 1976 .

[6]  Jian-Wen Peng Criteria for generalized invex monotonicities without Condition C , 2006, Eur. J. Oper. Res..

[7]  Majid Soleimani-damaneh,et al.  Characterization of nonsmooth quasiconvex and pseudoconvex functions , 2007 .

[8]  Yu. S. Ledyaev,et al.  Nonsmooth analysis and control theory , 1998 .

[9]  Kok Lay Teo,et al.  Criteria for generalized invex monotonicities , 2005, Eur. J. Oper. Res..

[10]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[11]  S. Karamardian,et al.  Seven kinds of monotone maps , 1990 .

[12]  M. Soleimani-damaneh A proof for Antczak’s mean value theorem in invexity analysis , 2008 .

[13]  F. Clarke Optimization And Nonsmooth Analysis , 1983 .

[14]  Boris S. Mordukhovich,et al.  Relative Pareto minimizers for multiobjective problems: existence and optimality conditions , 2009, Math. Program..

[15]  Jacques A. Ferland,et al.  Mathematical programming problems with quasi-convex objective functions , 1972, Math. Program..

[16]  Majid Soleimani-damaneh,et al.  Optimality for nonsmooth fractional multiple objective programming , 2008 .

[17]  B. Mordukhovich Variational Analysis and Generalized Differentiation II: Applications , 2006 .

[18]  B. Mond,et al.  Pre-invex functions in multiple objective optimization , 1988 .

[19]  M. A. Hanson On sufficiency of the Kuhn-Tucker conditions , 1981 .

[20]  Jacques A. Ferland,et al.  On pseudo-convex functions of nonnegative variables , 1971, Math. Program..

[21]  Kok Lay Teo,et al.  Generalized Invexity and Generalized Invariant Monotonicity , 2003 .

[22]  Majid Soleimani-Damaneh,et al.  Infinite (semi-infinite) problems to characterize the optimality of nonlinear optimization problems , 2008, Eur. J. Oper. Res..

[23]  Jafar Zafarani,et al.  Generalized Invariant Monotonicity and Invexity of Non-differentiable Functions , 2006, J. Glob. Optim..

[24]  Robert Mifflin,et al.  A -algorithm for convex minimization , 2005, Math. Program..

[25]  Antonio Rufián-Lizana,et al.  Generalized invex monotonicity , 2003, Eur. J. Oper. Res..

[26]  M. Soleimani-damaneh A mean value theorem in Asplund spaces , 2008 .

[27]  S. Schaible,et al.  4. Application of Generalized Concavity to Economics , 1988 .

[28]  Majid Soleimani-damaneh,et al.  The gap function for optimization problems in Banach spaces , 2008 .

[29]  Jonathan M. Borwein,et al.  A characterization of quasiconvex vector-valued functions , 2002 .