A Common Fixed Point Theorem with Applications

R. P. Agarwal; M. Balaj; D. O’Regan

doi:10.1007/s10957-013-0490-6

A Common Fixed Point Theorem with Applications

R. P. Agarwal, M. Balaj, D. O’Regan

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper, we establish a common fixed point theorem for a family of self set-valued mappings on a compact and convex set in a locally convex topological vector space. As applications, we obtain an existence theorem of solutions for a variational inequality of Stampacchia type and some Ky Fan-type minimax inequalities.

Original language	English
Pages (from-to)	482-490
Number of pages	9
Journal	Journal of Optimization Theory and Applications
Volume	163
Issue number	2
DOIs	https://doi.org/10.1007/s10957-013-0490-6
Publication status	Published - 7 Oct 2014

Keywords

Common fixed point
Minimax inequality
Stampacchia variational inequality

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10.1007/s10957-013-0490-6

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title = "A Common Fixed Point Theorem with Applications",

abstract = "In this paper, we establish a common fixed point theorem for a family of self set-valued mappings on a compact and convex set in a locally convex topological vector space. As applications, we obtain an existence theorem of solutions for a variational inequality of Stampacchia type and some Ky Fan-type minimax inequalities.",

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AU - O’Regan, D.

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AB - In this paper, we establish a common fixed point theorem for a family of self set-valued mappings on a compact and convex set in a locally convex topological vector space. As applications, we obtain an existence theorem of solutions for a variational inequality of Stampacchia type and some Ky Fan-type minimax inequalities.

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KW - Minimax inequality

KW - Stampacchia variational inequality

UR - https://www.scopus.com/pages/publications/84918583874

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JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

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A Common Fixed Point Theorem with Applications

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Keywords

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