Document Type : Research Paper

Authors

1 Department of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.

2 Department of Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.

3 Department of Mathematics, University of Bonab, Bonab, Iran.

Abstract

In this paper, we study the iterations of quasi $\phi$-nonexpansive mappings and its applications in Banach spaces. At the first, we prove strong convergence of the sequence generated by the hybrid proximal point method to a common fixed point of a family of quasi $\phi$-nonexpansive mappings.  Then, we give  applications of our main results in equilibrium problems.

Keywords

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