Chatuphol Khaofong, Phachara Saipara, Suphot Srathonglang, Anantachai Padcharoen, "New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces," WSEAS Transactions on Mathematics, vol. 23, pp. 87-97, 2024, DOI:10.37394/23206.2024.23.11
Chatuphol Khaofong, Phachara Saipara, Suphot Srathonglang, Anantachai Padcharoen. New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces.
WSEAS Transactions on Mathematics. 2024;23:87-97. 10.37394/23206.2024.23.11
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 23, 2024
New Modified Proximal Point Algorithm for Solving Minimization and Common Fixed Point Problem over CAT(κ) Spaces
Authors: , , ,
Abstract: In this paper, we present a newly proximal point algorithm for solving minimization and common fixed point problems in CAT(1) spaces. Under some mild conditions, we prove strong and Δ-convergence theorems. Additionally, a convex minimization application and a common fixed point problems in CAT $$(κ)$$ spaces with the bounded $$ κ \in (0,\infty)$$ are provided. Our findings complement and advance the pertinent recent findings in the literature.
Keywords:
Geodesic metric space, Convex function, Iteration process, Fixed point problem, Proximal point algorithm, Minimization problem
Pages: 87-97 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 23, 2024, Art. #11 DOI: 10.37394/23206.2024.23.11
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