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The equilibrium problem defined by the Nikaidô-Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others as special cases. This paper… Click to show full abstract
The equilibrium problem defined by the Nikaidô-Isoda-Fan inequality contains a number of problems such as optimization, variational inequality, Kakutani fixed point, Nash equilibria, and others as special cases. This paper presents a picture for the relationship between the fixed points of the Moreau proximal mapping and the solutions of the equilibrium problem that satisfies some kinds of monotonicity and Lipschitz-type condition. Mathematics Subject Classification (2010). 47H05, 47H10, 90C33.
Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2021
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