A Modified Iterative Approach for Fixed Point Problem in Hadamard Spaces

Author:

Tassaddiq Asifa1ORCID,Ahmed Wakeel2ORCID,Zaman Shahid2ORCID,Raza Asma2,Islam Usman2,Nantomah Kwara3ORCID

Affiliation:

1. Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia

2. Department of Mathematics, University of Sialkot, Sialkot 51310, Pakistan

3. Department of Mathematics, School of Mathematical Sciences, C.K. Tedam University of Technology and Applied Sciences, P. O. Box 24, Navrongo, Upper-East Region, Ghana

Abstract

The role of iterative algorithms is vital in exploring the diverse domains of science and has proven to be a powerful tool for solving complex computational problems in the most trending branches of computer science. Taking motivation from this fact, we develop and apply a modified four-step iterative algorithm to solve the fixed point problem in the Hadamard spaces using a total asymptotic nonexpansive mapping. MATLAB R2018b is used for numerical experiments to ensure a better convergence rate of the proposed iterative algorithm with existing results.

Funder

Majmaah University

Publisher

Hindawi Limited

Reference32 articles.

1. Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension;M. Y. Khachay;Doklady Mathematics,2020

2. A New Approach to the Solution of Non-Linear Integral Equations via Various FBe-Contractions

3. Cyberspace: A Digital Ecosystem

4. Geometric Routing With Word-Metric Spaces

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