Coincidence theorems and its applications to equilibrium problems |
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Authors: | Carlos Biasi Tha��s F M Monis |
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Institution: | (1) Department of Mathematics “Ulisse Dini”, University of Florence, Viale Morgagni 67 A, 50134 Florence, Italy |
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Abstract: | Given two maps
h : X ×K ? \mathbbR{h : X \times K \rightarrow \mathbb{R}} and g : X → K such that, for all x ? X, h(x, g(x)) = 0{x \in X, h(x, g(x)) = 0} , we consider the equilibrium problem of finding (x)\tilde] ? X{\tilde{x} \in X} such that h((x)\tilde], g(x)) 3 0{h(\tilde{x}, g(x)) \geq 0} for every x ? X{x \in X} . This question is related to a coincidence problem. |
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