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Optimality conditions for convex semi-infinite programming problems with finitely representable compact index setsIn the present paper, we analyze a class of convex semi-infinite programming problems
Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg-empty convex set. We prove an extension of the Hadwiger theorems about approximations of convex compact sets
On convex closed sets of measurable operatorsWe investigate "operator" intervals of three types and prove some convexity and closedness theorems
The Closure and the Interior of C-convex SetsC-convexity of the closure, interiors and their lineal convexity are considered for C-convex sets
Convex SIP Problems with Finitely Representable Compact Index Sets: Immobile Indices and the Properties of the Auxiliary NLP ProblemIn the paper, we consider a problem of convex Semi-Infinite Programming with a compact index set
On estimates for solutions of systems of convex inequalities given point to the Lebesgue set of a convex function are obtained and sufficient conditions for convex
Existence theorem and optimality conditions for a class of convex semi-infinite problems with noncompact index sets. These problems are convex and possess non-compact index sets. In the paper, we present conditions guaranteeing
Extremality of convex sets with some applicationsIn this paper we introduce an enhanced notion of extremal systems for sets in locally convex
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