Generalized Variational Relation Problems with Applications

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, 2011, vol. 148, issue 1, No 1, 13 pages

Abstract: Abstract In this paper, we first obtain an existence theorem of the solutions for a variational relation problem. An existence theorem for a variational inclusion problem, a KKM theorem and an extension of the well know Ky Fan inequality will be established, as particular cases. Some applications concerning a saddle point problem with constraints, existence of a common fixed point for two mappings and an optimization problem with constraints, will be given in the last section of the paper.

Keywords: Variational relation problem; KKM theorem; Variational inclusion problem; Optimization problem with constraints; Saddle point (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-010-9741-y

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