Iterative Techniques for Common Solutions of Mixed Equilibrium Problem and Fixed Points of µ-Demicontractive Mappings

A. In this paper, we introduce and analyse a new algorithm for finding a common solution of the set of solutions of a Mixed Equilibrium Problem and the set of fixed points of a finite family of demicontractive mappings.We prove a strong convergence result for the sequence generated by the algorithm and prove that the sequence converges strongly to a common solution of Mixed EquilibriumProblem and the set of fixed points of a finite family of -demicontractive mappings.

Authors

Publication Details

Journal
Asia Pacific Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.28924/apjm/12-74
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Iterative Techniques for Common Solutions of Mixed Equilibrium Problem and Fixed Points of µ-Demicontractive Mappings

Prashant Patel, Rahul Shukla
Asia Pacific Journal of Mathematics
Optimization and Variational Analysis
article

Iterative Techniques for Common Solutions of Mixed Equilibrium Problem and Fixed Points of µ-Demicontractive Mappings

Prashant Patel, Rahul Shukla
article en

Abstract

A. In this paper, we introduce and analyse a new algorithm for finding a common solution of the set of solutions of a Mixed Equilibrium Problem and the set of fixed points of a finite family of demicontractive mappings.We prove a strong convergence result for the sequence generated by the algorithm and prove that the sequence converges strongly to a common solution of Mixed EquilibriumProblem and the set of fixed points of a finite family of -demicontractive mappings.

Asia Pacific Journal of MathematicsVol. 12
Openalex Percentile: Top 76%
Optimization and Variational Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Iterative Techniques for Common Solutions of Mixed Equilibrium Problem and Fixed Points of µ-Demicontractive Mappings — Prashant Patel, Rahul Shukla · Asia Pacific Journal of Mathematics (2025) | TGRS Research Map | TGRS