Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces
Filomat, Tome 36 (2022) no. 10, p. 3515
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In this paper, we propose a new hybrid subgradient algorithm for finding a common point in the set of solutions of pseudomonotone equilibrium problem and the set of fixed points of relatively nonexpansive mapping in a real uniformly convex and uniformly smooth Banach spaces. Weak and strong convergence of the iterative scheme are established. Our results generalizes and improves several recent results in the literature.
Classification :
47H09, 47J25
Keywords: Pseudomonotone Equilibrium problem, Fixed point Problem, Relatively nonexpansive, Banach Spaces
Keywords: Pseudomonotone Equilibrium problem, Fixed point Problem, Relatively nonexpansive, Banach Spaces
Murtala Haruna Harbau; Bashir Ali. Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces. Filomat, Tome 36 (2022) no. 10, p. 3515 . doi: 10.2298/FIL2210515H
@article{10_2298_FIL2210515H,
author = {Murtala Haruna Harbau and Bashir Ali},
title = {Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in {Banach} spaces},
journal = {Filomat},
pages = {3515 },
year = {2022},
volume = {36},
number = {10},
doi = {10.2298/FIL2210515H},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210515H/}
}
TY - JOUR AU - Murtala Haruna Harbau AU - Bashir Ali TI - Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces JO - Filomat PY - 2022 SP - 3515 VL - 36 IS - 10 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2210515H/ DO - 10.2298/FIL2210515H LA - en ID - 10_2298_FIL2210515H ER -
%0 Journal Article %A Murtala Haruna Harbau %A Bashir Ali %T Hybrid subgradient method for pseudomonotone equilibrium problem and fixed points of relatively nonexpansive mappings in Banach spaces %J Filomat %D 2022 %P 3515 %V 36 %N 10 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2210515H/ %R 10.2298/FIL2210515H %G en %F 10_2298_FIL2210515H
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