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Fixed points theorems and quasi-variational inequalities in G-convex spaces
Author(s) -
M. Fakhar,
J. Zafarani
Publication year - 2005
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1117805086
Subject(s) - mathematics , fixed point theorem , coincidence point , regular polygon , pure mathematics , fixed point , type (biology) , fixed point property , coincidence , property (philosophy) , kakutani fixed point theorem , brouwer fixed point theorem , schauder fixed point theorem , discrete mathematics , mathematical analysis , geometry , medicine , ecology , philosophy , alternative medicine , epistemology , pathology , biology
We obtain a generalized continuous selection theorem and a coincidence theorem for generalized convex spaces. Some new Himmelberg type theorems and Eilenberg-Montgomery and Gorniéwicz type fixed point theorems for mappings with KKM property are established in noncompact LG-spaces. Moreover, applications to these fixed point theorems for existence of equilibria are given.

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