Document Type : Research Paper
Authors
- Rasoul Jahed ^{1}
- Hamid Vaezi ^{} ^{2}
- Hossein Piri ^{} ^{3}
^{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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