%0 Journal Article %T Strong Convergence of the Iterations of Quasi $\phi$-nonexpansive Mappings and its Applications in Banach Spaces %J Sahand Communications in Mathematical Analysis %I University of Maragheh %Z 2322-5807 %A Jahed, Rasoul %A Vaezi, Hamid %A Piri, Hossein %D 2020 %\ 07/01/2020 %V 17 %N 3 %P 71-80 %! Strong Convergence of the Iterations of Quasi $\phi$-nonexpansive Mappings and its Applications in Banach Spaces %K Demiclosed‎ %K ‎equilibrium problem‎ %K ‎fixed point‎ %K ‎hybrid projection‎ %K ‎quasi nonexpansive mapping‎ %K Resolvent %R 10.22130/scma.2019.115400.687 %X 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. %U https://scma.maragheh.ac.ir/article_39052_3f6d627565d4ef455b8324b2748488a6.pdf