An inertial type subgradient extragradient method for common fixed point and variational inequalities problems in real Banach space

Authors

  • Bashir Ali Bayero University, Kano
  • Ajio Terlumun Jude

DOI:

https://doi.org/10.30495/jme.v18i0.2675

Keywords:

variational inequality problem, inertial subgradient extragradient method, Strong convergence, Monotone mapping, Fixed point.

Abstract

In this paper, we introduce a new  inertial type algorithm with  self - adaptive step size technique for approximating a common element of the set of solutions of pseudomonotone variational inequality problem and the set of common fixed point of a finite family of generic generalized nonspreading mappings in uniformly smooth and  2-uniformly convex  real Banach space.  Our result generalize and improve many recent existing results in the literature.

Author Biography

Bashir Ali, Bayero University, Kano

Professor

Department of Mathematical Sciences

Bayero University, Kano

Nigeria

 

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Published

2024-05-19

Issue

Vol. 18

Section

Vol. 18, No. 1, (2024)

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