TY - JOUR
ID - 39052
TI - Strong Convergence of the Iterations of Quasi $\phi$-nonexpansive Mappings and its Applications in Banach Spaces
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Jahed, Rasoul
AU - Vaezi, Hamid
AU - Piri, Hossein
AD - Department of Mathematics, Sarab Branch, Islamic Azad University, Sarab, Iran.
AD - Department of Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
AD - Department of Mathematics, University of Bonab, Bonab, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 3
SP - 71
EP - 80
KW - Demiclosed
KW - equilibrium problem
KW - fixed point
KW - hybrid projection
KW - quasi nonexpansive mapping
KW - Resolvent
DO - 10.22130/scma.2019.115400.687
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_39052.html
L1 - https://scma.maragheh.ac.ir/article_39052_3f6d627565d4ef455b8324b2748488a6.pdf
ER -