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Approximation solutions of quasi-equilibrium problems in Banach spaces

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In this paper, we study to approximate solutions of quasi-equilibrium problems in Banach spaces, which generalizes equilibrium problems and quasi-variational inequalities. In fact, we prove weak convergence of the sequence… Click to show full abstract

In this paper, we study to approximate solutions of quasi-equilibrium problems in Banach spaces, which generalizes equilibrium problems and quasi-variational inequalities. In fact, we prove weak convergence of the sequence generated by the proximal point method to a solution of the quasi-equilibrium problem. Then we show that the generated sequence converges strongly to a solution of the quasi-equilibrium problem. 2010 Mathematics Subject Classification: 90C33; 74G10

Keywords: banach spaces; equilibrium; problems banach; solutions quasi; equilibrium problems; quasi equilibrium

Journal Title: Miskolc Mathematical Notes
Year Published: 2020

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