Theorems of the minimization problem and fixed point problem of total asymptotically nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces

MaRDI QIDQ6567245

Jiraporn Limprayoon

Publication date: 4 July 2024

Published in: Journal of Nonlinear Analysis and Optimization: Theory \& Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergence\(\Delta\)-convergencefixed point problem\(\mathrm{CAT}(0)\) spacetotal asymptotically nonexpansive mappingconvergence theoremminimisation problem

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
• Proximal point algorithms involving fixed points of nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces
• Mann's algorithm for nonexpansive mappings in CAT\((\kappa)\) spaces
• Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces
• A concept of convergence in geodesic spaces
• Approximating solutions of maximal monotone operators in Hilbert spaces
• Convex functionals and generalized harmonic maps into spaces of non positive curvature
• The proximal point algorithm in metric spaces
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
• On mixed equilibrium problems in Hadamard spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Fixed points of uniformly Lipschitzian mappings
• Fixed point theorems in CAT(0) spaces and \(\mathbb R\)-trees
• Strong convergence of a modified SP-iteration process for generalized asymptotically quasi-nonexpansive mappings in CAT(0) spaces
• Convex analysis and optimization in Hadamard spaces
• Remarks on Some Fixed Point Theorems
• Monotone Operators and the Proximal Point Algorithm
• Hybrid algorithm with perturbations for total asymptotically non-expansive mappings in CAT(0) space
• Proximal point algorithm for nonlinear multivalued type mappings in Hadamard spaces
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

This page was built for publication: Theorems of the minimization problem and fixed point problem of total asymptotically nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6567245)