Inertial iterative method for a generalized mixed equilibrium, variational inequality and a fixed point problems for a family of quasi-ϕ-nonexpansive mappings-Reference-Cited by-同舟云学术

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

Published:2023 Issue:18 Volume:37 Page:6133-6150
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Farid Mohammad¹,Ali Rehan²,Kazmi Kaleem³

Affiliation:

1. Department of Mathematics, Deanship of Educational Services, Qassim University, Buraydah, Saudi Arabia

2. Department of Mathematics, Jamia Millia Islamia, New Delhi, India

3. Department of Mathematics, Aligarh Muslim University, Aligarh, India

Abstract

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 twouniformly 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.

Publisher

National Library of Serbia

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