S. Nobakhtian

TL;DR: By imposing assumptions of generalized convexity, this paper gives sufficient conditions for efficient solutions for nonsmooth multiobjective semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite.

TL;DR: Several kinds of constraint qualifications for non-smooth semi-infinite programming problems in which the index set of the inequality constraints is an arbitrary set not necessarily finite are introduced.

TL;DR: In this article, the authors considered a nonsmooth semi-infinite programming problem with a feasible set defined by inequality and equality constraints and a set constraint, and applied alternative theorems to obtain, under different constraint qualifications, several necessary optimality conditions in the type of Fritz-John and Karush-Kuhn-Tucker.

TL;DR: Constant optimality conditions for nonsmooth multiobjective optimization problems are studied and Mangasarian-Fromovitz type constraint qualification and several other qualifications are proposed and their relationships are investigated.

TL;DR: In this article, a mathematical program with equilibrium constraints (MPEC) is formulated as a MPEC with complementarity constraints and a necessary optimality result for nonsmooth MPEC on any Asplund space is derived.