On some optimization problems in not necessarily locally convex space | Zendy

Ljiljana Gajić | Zendy

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On some optimization problems in not necessarily locally convex space

Author(s) -

Ljiljana Gajić

Publication year - 2008

Publication title -

yugoslav journal of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

pISSN - 0354-0243

DOI - 10.2298/yjor0802167g

Subject(s) - generalization , mathematics , fixed point theorem , danskin's theorem , locally convex topological vector space , regular polygon , kakutani fixed point theorem , space (punctuation) , convex optimization , brouwer fixed point theorem , point (geometry) , pure mathematics , mathematical economics , schauder fixed point theorem , mathematical analysis , computer science , geometry , operating system

In this note, by using O. Hadžić's generalization of a fixed point theorem of Himmelberg, we prove a non - cooperative equilibrium existence theorem in non - compact settings and a generalization of an existence theorem for non - compact infinite optimization problems, all in not necessarily locally convex spaces

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