Hierarchical Fixed Point Results for a Countable Family of Strict Pseudo-contractive Mappings in Hadamard Manifolds

Authors

  • Prashant Patel Department of Mathematics, School of Advanced Sciences, VIT-AP University, Inavolu, Beside AP Secretariat, Amaravati, 522237, Andhra Pradesh, India
  • Rahul Shukla Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5951

Keywords:

Hierarchical Fixed point, Hadamard Manifolds, Pseudocontractive Mappings

Abstract

The aim of this paper is to present convergence results for a countable family of strict pseudocontractive mappings in Hadamard manifolds. More precisely, we employ the shrinking projection method to approximate common hierarchical fixed points of a  countable family of strict pseudocontractive mappings in the setting of Hadamard manifolds. We also present some nontrivial examples to illustrate our result.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Prashant Patel, Rahul Shukla

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How to Cite

Hierarchical Fixed Point Results for a Countable Family of Strict Pseudo-contractive Mappings in Hadamard Manifolds. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5951. https://doi.org/10.29020/nybg.ejpam.v18i2.5951