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Information Seminar Paper

Title

SOLVING EQUILIBRIUM AND OPTIMIZATION PROBLEMS WITH ITERATIVE METHODS

Writers

RAJA P.

Pages

 Start Page | End Page

Abstract

 THE PURPOSE OF THIS PAPER IS TO INTRODUCED AN ITERATIVE SCHEME FOR FINDING A COMMON ELEMENT OF THE SET OF FIXED POINTS OF A NONEXPANSIVE MAPPING, THE SET OF SOLUTIONS OF THE VARIATIONAL INEQUALITY FOR AN INVERSE-STRONGLY MONOTONE MAPPING AND THE SET OF SOLUTIONS OF AN EQUILIBRIUM PROBLEM IN A HILBERT SPACE. WE SHOW THAT THE ITERATIVE SEQUENCE CONVERGES STRONGLY TO A COMMON ELEMENT OF THE THREE SETS. IN THIS PAPER WE GENERALIZED SOME OF PREVIOUS RESULTS.

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