Further on Set-Valued Equilibrium Problems and Applications to Browder Variational Inclusions

Boualem Alleche () and Vicenţiu D. Rădulescu ()
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Boualem Alleche: Université de Médéa
Vicenţiu D. Rădulescu: King Abdulaziz University

Journal of Optimization Theory and Applications, 2017, vol. 175, issue 1, No 2, 39-58

Abstract: Abstract In this paper, we introduce some concepts of convexity and semicontinuity for real set-valued mappings similar to those of real single-valued mappings. Then, we obtain different results on the existence of solutions of set-valued equilibrium problems generalizing in a common way several old ones for both single-valued and set-valued equilibrium problems. Applications to Browder variational inclusions, with weakened conditions on the involved set-valued operator, are given.

Keywords: Equilibrium problem; Set-valued mapping; Convexity; Semicontinuity; Variational inclusion; 26A15; 26B25; 26E25; 47J20; 49J35 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-017-1169-1

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