A general iterative method for finding common fixed point of finite family of demicontractive mappings with accretive variational inequality problems in Banach spaces

T. O. Alakoya, L. O. Jolaoso, O. T. Mewomo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

In This Paper, We Introduce A General Iterative Scheme For Approximating A Common Fixed Point Of Finite Family Of Demicontractive Mappings With Accretive Variational Inequality Problems In A Real Uniformly Convex And Uniformly Smooth Banach Space. We Prove Some Strong Convergence Theorems Under Certain Suitable Conditions. Furthermore, We Apply Our Results To Solving Convex Minimization Problems And Linear Inverse Problem In Real Hilbert Spaces. Numerical Example With Graphical Illustrations Are Also Provided To Show The Efficiency Of Our Algorithm. Our Results Improve And Extend Many Other Results In This Direction In The Literature.

Original languageEnglish
Pages (from-to)213-236
Number of pages24
JournalNonlinear Studies
Volume27
Issue number1
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Demicontractive Mapping
  • Extragradient Algorithm
  • Fixed Point Problem
  • Variational Inequality
  • Viscosity Approximation Method

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