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June 2005 Fixed points theorems and quasi-variational inequalities in G-convex spaces
M. Fakhar, J. Zafarani
Bull. Belg. Math. Soc. Simon Stevin 12(2): 235-247 (June 2005). DOI: 10.36045/bbms/1117805086

Abstract

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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M. Fakhar. J. Zafarani. "Fixed points theorems and quasi-variational inequalities in G-convex spaces." Bull. Belg. Math. Soc. Simon Stevin 12 (2) 235 - 247, June 2005. https://doi.org/10.36045/bbms/1117805086

Information

Published: June 2005
First available in Project Euclid: 3 June 2005

zbMATH: 1108.47049
MathSciNet: MR2179966
Digital Object Identifier: 10.36045/bbms/1117805086

Subjects:
Primary: 47H10, 54H25
Secondary: 47J20, 49J40

Rights: Copyright © 2005 The Belgian Mathematical Society

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Vol.12 • No. 2 • June 2005
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