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

被引:0
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作者
Gábor Kassay
Mihaela Miholca
Nguyen The Vinh
机构
[1] Babeş-Bolyai University,Faculty of Mathematics and Computer Science
[2] Technical University of Cluj-Napoca,Department of Mathematics
[3] University of Transport and Communications,Department of Mathematics
关键词
Ky Fan inequality; Browder–Fan mapping; Vector quasi-equilibrium problem; Upper (lower) ; -mapping; -upper (lower) semicontinuous; Multivalued mapping; Generalized ; -essentially quasimonotone; 49J40; 47H04; 47H10;
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摘要
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.
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页码:424 / 442
页数:18
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