Coincidence theorems and its applications to equilibrium problems |
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| Authors: | Carlos Biasi Tha��s F. M. Monis |
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| Affiliation: | (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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