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Existence of solutions in variational relation problems without convexity |
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| Authors: | Dinh The Luc Ebrahim Sarabi |
| Affiliation: | a LANG, University of Avignon, France b University of Tarbiat Moallem, Iran c GREQAM, University of Mediterranee, Marseille, France |
| Abstract: | Two main existence conditions for solutions of variational relation problems are established without convexity. The first one is based on a finite solvability property and the second one on generalized KKM mappings. These conditions unify and strengthen several existing results in the literature on the topic. A model of satisficing process by rejection is considered which gives an economic interpretation of the introduced concepts. |
| Keywords: | Variational relation Equilibrium Variational inequality KKM maps Satisficing process |
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