A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-Φ-Asymptotically Nonexpansive Mapping in a Banach Space
نویسندگان
چکیده
The purpose of this paper is to introduce the modified Halpern-type iterative method by the generalized f -projection operator for finding a common solution of fixed-point problem of a totally quasi-φ-asymptotically nonexpansivemapping and a system of equilibrium problems in a uniform smooth and strictly convex Banach space with the Kadec-Klee property. Consequently, we prove the strong convergence for a common solution of above two sets. Our result presented in this paper generalize and improve the result of Chang et al., 2012 , and some others.
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2012 شماره
صفحات -
تاریخ انتشار 2012