Fixed Point Iterations for Functional Equations and Split Feasibility Problems in CAT(0) Spaces

Authors

  • Latif Ur Rahman Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad - 44000, Pakistan
  • Muhammad Arshad Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad - 44000, Pakistan
  • Hasanen A. Hammad Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia
  • Manuel De la Sen Institute of Research and Development of Processes, Department of Electricity and Electronics, Faculty of Science and Technology, University of the Basque Country, 48940-Leioa (Bizkaia), Spain https://orcid.org/0000-0001-9320-9433

DOI:

https://doi.org/10.37256/cm.5120242934

Keywords:

fixed point technique, functional equation, convergence result, condition (I), CAT(0) space, split feasibility problem

Abstract

Among other things, finding solutions for functional as well as other types of problems (including differential and integral) by suggesting fixed-point procedures is a difficult task, especially when we study the approximation techniques in the absence of linearity in the domain of definition. In this paper, an effective iterative approximation procedure is successfully applied to find fixed points of a general class of operators in the nonlinear setting of CAT(0) spaces. The results are illustrated with the help of some examples. Some numerical computations are also provided. Eventually, we prove that our new results are applicable to solving split feasibility problems. Our results are new and complement some recently published results from the literature.

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Published

2024-01-19

How to Cite

1.
Ur Rahman L, Arshad M, Hammad HA, De la Sen M. Fixed Point Iterations for Functional Equations and Split Feasibility Problems in CAT(0) Spaces. Contemp. Math. [Internet]. 2024 Jan. 19 [cited 2024 Feb. 27];5(1):365-79. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2934