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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 7
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Original Articles

On equilibrium-like problems

, &
Pages 807-818 | Received 18 Jan 2005, Accepted 10 May 2007, Published online: 27 Sep 2007
 

Abstract

In this article we introduce a new class of equilibrium problems known as mixed quasi invex equilibrium (equilibrium-like) problems with trifunction. This class of equilibrium problems includes invex equilibrium problems, variational inequalities and variational-like inequalities as special cases. We use the auxiliary principle technique to suggest and analyze some iterative schemes for solving invex equilibrium problems and study the convergence criteria of these methods under mild conditions. Our results represent significant and important refinements of the previously known results.

Acknowledgment

This research is supported by the Higher Education Commission, Pakistan, through grant No. 1-28/HEC/HRD/2005/90.

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