A Unifying Approach to Variational Relation Problems

R. P. Agarwal; M. Balaj; D. O'Regan

doi:10.1007/s10957-012-0090-x

A Unifying Approach to Variational Relation Problems

R. P. Agarwal, M. Balaj, D. O'Regan

Mathematics

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

22 Citations (Scopus)

Abstract

The purpose of this paper is to present a unified approach to study the existence of solutions for two types of variational relation problems, which encompass several generalized equilibrium problems, variational inequalities and variational inclusions investigated in the recent literature. By using two well-known fixed point theorems, we establish several existence criteria for the solutions of these problems.

Original language	English
Pages (from-to)	417-429
Number of pages	13
Journal	Journal of Optimization Theory and Applications
Volume	155
Issue number	2
DOIs	https://doi.org/10.1007/s10957-012-0090-x
Publication status	Published - 1 Nov 2012

Keywords

Fixed point
Quasi-equilibrium
T-KKM relation
Variational relation

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Agarwal, RP,Balaj, M,O'Regan, D

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10.1007/s10957-012-0090-x

Cite this

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AB - The purpose of this paper is to present a unified approach to study the existence of solutions for two types of variational relation problems, which encompass several generalized equilibrium problems, variational inequalities and variational inclusions investigated in the recent literature. By using two well-known fixed point theorems, we establish several existence criteria for the solutions of these problems.

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KW - Quasi-equilibrium

KW - T-KKM relation

KW - Variational relation

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A Unifying Approach to Variational Relation Problems

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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