Inertial iterative method for a generalized mixed equilibrium, variational inequality and a fixed point problems for a family of quasi-?-nonexpansive mappings

被引：3

作者：

Farid, Mohammad ^{[1
]}

Ali, Rehan ^{[2
]}

Kazmi, Kaleem Raza ^{[3
]}

机构：

[1] Qassim Univ, Dept Math, Educ Serv, Buraydah 51452, Saudi Arabia

[2] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

FILOMAT | 2023年 / 37卷 / 18期

关键词：

Quasi-?-nonexpansive mapping; fixed point problem; variational inequality problem; generalized mixed equilibrium problem; inertial hybrid iterative method; Banach space; CONVERGENCE THEOREMS;

D O I：

10.2298/FIL2318133F

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an inertial type gradient projection hybrid iterative method for finding a common solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two -uniformly convex and uniformly smooth Banach space. Next, we analyze the strong convergence for a common solution of problem. Furthermore, we carry out some consequences and present a numerical example to show and tell the applicability of main theorem. Our result improves, unifies, generalizes and extends ones from several earlier works.

引用

页码：6133 / 6150

页数：18

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