Open AccessOn a proximal point algorithm for solving common fixed point problems and convex minimization problems in Geodesic spaces with positive curvature
Author(s) -
Chainarong Khunpanuk,
Chanchal Garodia,
Izhar Uddin,
Nuttapol Pakkaranang
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022529
Subject(s) - minification , mathematics , geodesic , curvature , convergence (economics) , point (geometry) , fixed point , regular polygon , algorithm , mathematical optimization , mathematical analysis , geometry , economics , economic growth
In this article, we present a new modified proximal point algorithm in the framework of CAT(1) spaces which is utilized for solving common fixed point problem and minimization problems. Also, we prove convergence results of the obtained process under some mild conditions. Our results extend and improve several corresponding results of the existing literature.