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...

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Vydáno v:AIMS mathematics Ročník 8; číslo 2; s. 4304 - 4320
Hlavní autoři: Garodia, Chanchal, Uddin, Izhar, Abdalla, Bahaaeldin, Abdeljawad, Thabet
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2023
Témata:
cat space
minimization problem
nonexpansive mappings
proximal point algorithm
resolvent operator
ISSN:2473-6988, 2473-6988
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Abstract 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.
AbstractList 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 Δ and strong convergence of the proposed algorithm. Our results extend and improve the corresponding recent results in the literature.
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.
Author Garodia, Chanchal
Uddin, Izhar
Abdalla, Bahaaeldin
Abdeljawad, Thabet
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  fullname: Abdeljawad, Thabet
  organization: Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia, Department of Medical Research, China Medical University, Taichung 40402, Taiwan
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Snippet 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...
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SubjectTerms cat space
minimization problem
nonexpansive mappings
proximal point algorithm
resolvent operator
Title A modified proximal point algorithm in geodesic metric space
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