MODIFIED MANN AND VISCOSITY ALGORITHMS FOR ENRICHED NONEXPANSIVE MAPPINGS


By

Meenakshi Gugnani¹ and Anjali²

¹Department of Mathematics, Sh. L.N. Hindu College, Rohtak, Haryana, India-124001 

²Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana, India-124001 

Email: mgugnani22@gmail.com, anjaliahuja3108@gmail.com - Corresponding author 

(Received: January 28, 2023; In format: February 05, 2023; Revised: January 21, 2024; Accepted: March 14, 2024) 


DOI: https://doi.org/10.58250/jnanabha.2024.54111 


 

Abstract

This paper examines algorithms for solving fixed point problems for enriched nonexpansive mappings. We combine the inertial technique with our algorithms for a better rate of convergence. Strong convergence of proposed algorithms in a real Hilbert space is proved. We also provide a numerical example to demonstrate that our algorithm defined by equation (3.1) converges more quickly than Modified Kransnoselskii Mann Algorithm (MKMA) [4]. 


2020 Mathematical Sciences Classification: 37C25, 47H09, 65D15. 

Keywords and Phrases: fixed point, enriched nonexpansive mapping, inertial Mann Halpern algorithm, inertial viscosity algorithm 

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