Existence Criteria for the Solutions of Two Types of Variational Relation Problems

M. Balaj and L. J. Lin ()
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M. Balaj: University of Oradea
L. J. Lin: National Changhua University of Education

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 2, No 3, 232-246

Abstract: Abstract The variational relation problems have been introduced in 2008, by Dinh The Luc, as general models for a large class of problems in nonlinear analysis and applied mathematics. Since this manner of approach proved to be a powerful tool for studying a wide class of problems in nonlinear analysis and applied mathematics, several types of variational relation problems or systems of variational relation problems have been investigated in many recent papers. The present paper fits into this interesting group of works, establishing existence criteria for the solutions of two very general types of variational relation problems.

Keywords: Variational relation problem; (T; P)-KKM relation; Fixed point (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10957-012-0136-0

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