Approximating Solutions of Resolvents of Monotone Operators and Convex Functions in Hadamard Spaces

M. D. Banda, H. A. Abass*, M. Aphane, S. F. Saidov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study the products of finitely many resolvents of monotone operators and convex functions in the settings of Hadamard space. We propose an iterative method for finding products of finitely many resolvents of monotone operators, convex functions and fixed points of k-strictly pseudocontractive mappings. A strong convergence result of our proposed algorithm was established without imposing any strict conditions on our operators. We provide some consequences of our result and display a numerical example to illustrate the performance of our result. Our result complements and extends some related results in the literature.

Original languageEnglish
Article number185
JournalInternational Journal of Analysis and Applications
Volume23
DOIs
Publication statusPublished - 2025

Keywords

  • Hadamard spaces
  • convex functions
  • fixed point problem
  • monotone operators
  • pseudocontractive mapping

Fingerprint

Dive into the research topics of 'Approximating Solutions of Resolvents of Monotone Operators and Convex Functions in Hadamard Spaces'. Together they form a unique fingerprint.

Cite this