A Unifying Approach to Variational Relation Problems

R. P. Agarwal (), M. Balaj and D. O’Regan
Additional contact information
R. P. Agarwal: Texas A&M University, Kingsville
M. Balaj: University of Oradea
D. O’Regan: National University of Ireland

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 4, 417-429

Abstract: 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.

Keywords: Variational relation; Quasi-equilibrium; Fixed point; T-KKM relation (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-012-0090-x

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