Weak convergence of inertial proximal point algorithm for a family of nonexpansive mappings in Hilbet spaces

S Tiammee, J Tiammee - Carpathian Journal of Mathematics, 2024 - JSTOR
In this paper, we modified proximal point algorithm with some convex combination technique
to approximate a minimizer, equilibrium point and a common fixed point of a family of …

Convergence analysis of modified iterative approaches in geodesic spaces with curvature bounded above

P Thounthong, N Pakkaranang… - … Methods in the …, 2019 - Wiley Online Library
The objective of this article is to establish a new modified iteration process for nonexpansive
mappings in complete CAT (κ) spaces. We prove strong and Δ‐convergence theorems of the …

[PDF][PDF] Fixed point theorems for convex minimization problems in complex valued CAT (0) spaces

GA Okeke, M Abbas, M de la Sen - Nonlinear Funct. Anal. Appl, 2020 - academia.edu
In this paper, we introduce the concept of a complex valued CAT (0) space and propose a
new proximal point algorithm for certain nonlinear operators satisfying rational expressions …

[PDF][PDF] On solving minimization problem and common fixed point problem over geodesic spaces with curvature bounded above

N Wairojjana, P Saipara - Communications in Mathematics and …, 2020 - researchgate.net
In this paper, we introduce a new modified proximal point algorithm for solving minimization
problems and common fixed point problem in CAT (1) spaces. We prove strong and∆ …

[PDF][PDF] A proximal point algorithm converging strongly to a minimizer of a convex function

I Uddin, C Garodia, SH Khan - Jordan J. Math. Stat, 2020 - journals.yu.edu.jo
Jordan Journal of Mathematics and Statistics (JJMS) 13(4), 2020, pp 659 - 685 A
PROXIMAL POINT ALGORITHM CONVERGING STRONGLY TO Page 1 Jordan Journal of …

Proximal Point Algorithm Involving Best Proximity Point of Nonself Nonexpansive Mappings in Real Hilbert Spaces

S Tiammee, J Tiammee - Thai Journal of Mathematics, 2020 - thaijmath2.in.cmu.ac.th
In this paper, we present a new algorithm for approximating a solution of the convex
minimization problems and best proximity point problems. The weak and strong …