A Proximal Point Algorithm Converging Strongly to a Minimizer of a Convex Function

Authors

  • Izhar Uddin
  • Chanchal Garodia
  • Safeer Hussain Khan

Keywords:

Convex minimization problem; resolvent identity; CAT(0) space; proximal point algorithm; nonexpansive mapping.

Abstract

In this paper, we obtain a new modified proximal point algorithm in the setting of CAT(0) spaces and establish some strong convergence results of the proposed algorithm. In process, several relevant results of the existing literature are generalized and improved.

Key words and phrases. Convex minimization problem; resolvent identity; CAT(0) space; proximal point algorithm; nonexpansive mapping.

2010 Mathematics Subject Classification. 47H09, 47H10

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Published

2025-05-18

How to Cite

Izhar Uddin, Chanchal Garodia, & Safeer Hussain Khan. (2025). A Proximal Point Algorithm Converging Strongly to a Minimizer of a Convex Function. Jordan Journal of Mathematics and Statistics, 13(4), 659–685. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/849

Issue

Vol. 13 No. 4 (2020)

Section

Articles

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