University of MaraghehSahand Communications in Mathematical Analysis2322-580717320200701Strong Convergence of the Iterations of Quasi $\phi$-nonexpansive Mappings and its Applications in Banach Spaces71803905210.22130/scma.2019.115400.687ENRasoulJahedDepartment of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.HamidVaeziDepartment of Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.HosseinPiriDepartment of Mathematics, University of Bonab, Bonab, Iran.0000-0003-4220-8697Journal Article20191007In 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.https://scma.maragheh.ac.ir/article_39052_3f6d627565d4ef455b8324b2748488a6.pdf