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On scalar equilibrium problem in generalized convex spaces |
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| Authors: | Zoran D Mitrovi? |
| Institution: | Faculty of Electrical Engineering, University of Banja Luka, 78000 Banja Luka, Patre 5, Bosnia and Herzegovina |
| Abstract: | In this paper we prove the existence of a solution to the scalar equilibrium problem in generalized convex space. As applications, we derive results on the best approximations and simultaneous approximations. The results of this paper generalize some known results in the literature. |
| Keywords: | Simultaneous approximation Best approximation Fixed-point theorems G-KKM map Coincidence theorems Equilibrium problem Generalized convex space Hyperconvex metric space |
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