A Unifying Approach to Variational Relation Problems |
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Authors: | R P Agarwal M Balaj D O’Regan |
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Institution: | 1. Department of Mathematics, Texas A&M University, Kingsville, 700 University Blvd., Kingsville, TX, 78363-8202, USA 2. Department of Mathematics, University of Oradea, 410087, Oradea, Romania 3. Department of Mathematics, National University of Ireland, Galway, Ireland
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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. |
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