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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Shrnutí: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