Vector Quasi-Equilibrium Problems for the Sum of Two Multivalued Mappings

Gábor Kassay (), Mihaela Miholca () and Nguyen The Vinh ()
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Gábor Kassay: Babeş-Bolyai University
Mihaela Miholca: Technical University of Cluj-Napoca
Nguyen The Vinh: University of Transport and Communications

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 2, No 5, 424-442

Abstract: Abstract In this paper, we study vector quasi-equilibrium problems for the sum of two multivalued bifunctions. The assumptions are required separately on each of these bifunctions. Sufficient conditions for the existence of solutions of such problems are shown in the setting of topological vector spaces. The results in this paper unify, improve and extend some well-known existence theorems from the literature.

Keywords: Ky Fan inequality; Browder–Fan mapping; Vector quasi-equilibrium problem; Upper (lower) C-mapping; C-upper (lower) semicontinuous; Multivalued mapping; Generalized C-essentially quasimonotone; 49J40; 47H04; 47H10 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-016-0919-9

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