EUROPT 2025
Abstract Submission

88. A modified proximal point algorithm involving generalized nonexpansive mappings

Invited abstract in session MC-6: Nonsmooth optimization: from continuous to discrete Part II, stream Nonsmooth and nonconvex optimization.

Monday, 14:00-16:00
Room: B100/7013

Authors (first author is the speaker)

1. Izhar Uddin
MATHEMATICS, JAMIA MILLIA ISLAMIA

Abstract

In this paper, we propose a modified proximal point algorithm based on M-iteration to approximate a common element of the solution sets of convex minimization problems and the fixed points of nearly asymptotically quasi-nonexpansive mappings in CAT(0) spaces. Additionally, we establish some convergence results of the proposed algorithm for solving both the minimization and fixed point problems. We also present an application and provide numerical results demonstrating the effectiveness of our algorithm.

Keywords

Status: accepted


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