Convexity plays a very important role in various branches of mathematical, natural and
social sciences. In an effort to extend existing results depending on convexity there has …

For the scalar programming problem, some characterizations for optimal solutions are
known. In these characterizations convexity properties play a very important role. In this …

该文研究了非光滑多目标半无限规划问题的混合型对偶. 首先, 利用Lagrange
函数介绍了非光滑多目标半无限规划混合型对偶的弱有效解和有效解的定义. 其次, 利用Dini⁃ …

Second order (F, α, ρ, d)-convexity and duality in multiobjective programming - ScienceDirect
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We establish the Kuhn-Tucker necessary and sufficient conditions for an efficient optimum of
multiobjective fractional programming problems containing (si:F esi: ρ)-convex functions …

We establish the Kuhn–Tucker necessary and sufficient conditions for an efficient optimum
of nonsmooth multiobjective fractional programming problems containing pseudo–invex …

Second order mixed type dual is introduced for multiobjective programming problems.
Results about weak duality, strong duality, and strict converse duality are established under …

Generalized minimax fractional programming duality has been of much wx wx interest
recently 13, 8, 10, 11, 22, 34. In particular, Crouzeix et al. 11 showed that the minimax …

This volume summarizes and synthesizes an aspect of research work that has been done in
the area of Generalized Convexity over the past few decades. Specifically, the book focuses …

A multiobjective nonlinear programming problem is considered. Sufficiency theorems are
derived for efficient and properly efficient solutions under generalized (F, ρ)-convexity …