A modified proximal point algorithm in geodesic metric space

Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) space...

Full description

Saved in:

Bibliographic Details
Published in:	AIMS mathematics Vol. 8; no. 2; pp. 4304 - 4320
Main Authors:	Garodia, Chanchal, Uddin, Izhar, Abdalla, Bahaaeldin, Abdeljawad, Thabet
Format:	Journal Article
Language:	English
Published:	AIMS Press 01.01.2023
Subjects:	cat space minimization problem nonexpansive mappings proximal point algorithm resolvent operator
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	Proximal point algorithm is one of the most popular technique to find either zero of monotone operator or minimizer of a lower semi-continuous function. In this paper, we propose a new modified proximal point algorithm for solving minimization problems and common fixed point problems in CAT(0) spaces. We prove $ \Delta $ and strong convergence of the proposed algorithm. Our results extend and improve the corresponding recent results in the literature.
ISSN:	2473-6988 2473-6988
DOI:	10.3934/math.2023214