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.