Fixed Point Theory for Nonlinear Mappings, Generalized Equilibrium Problems and Variational Inequality Problems by Using Hybrid Method

Atid Kangtunyakarn, Bunyawee chaloemyotphong

Abstract


In this article, by using hybrid method we prove strong convergence theorem for finding a common element of the set of solutions of equilibrium problems, generalized equilibrium problems and fixed points problems by using theĀ  K-mapping generated by a finite family of nonspreading mappings and a finite real numbers. Moreover, we apply our main result to obtain a strong convergence theorem for finding a solution of minimization problems, generalized equilibrium problems and fixed points problems of nonlinear mappings.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|