Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces

DOI10.1142/S1793557119500773zbMath1502.54058OpenAlexW2802312589MaRDI QIDQ5193478

S. Ritika, Safeer Hussain Khan

Publication date: 10 September 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557119500773

zbMATH Keywords

strong convergenceCAT(0) spaces\(\Delta\)-convergencegeneralized nonexpansive mappingsRK-iterative process

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (6)

Iterative approximation of fixed points of a general class of non-expansive mappings in hyperbolic metric spaces ⋮ Unnamed Item ⋮ Convergence theorems of a modified iteration process for generalized nonexpansive mappings in hyperbolic spaces ⋮ Approximating fixed points of $\rho$-nonexpansive mappings by RK-iterative process in modular function spaces ⋮ Unnamed Item ⋮ Approximating common fixed points by a new faster iteration process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximating fixed points for nonself mappings in CAT(0) spaces
• Fixed point theory for a class of generalized nonexpansive mappings
• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces
• Approximating fixed points of generalized nonexpansive mappings
• A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings
• A concept of convergence in geodesic spaces
• Approximating fixed points of nonexpansive nonself mappings in CAT(0) spaces
• Common fixed points of new iterations for two asymptotically nonexpansive nonself-mappings in a Banach space
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Some convergence and stability results for two new Kirk type hybrid fixed point iterative algorithms
• A Picard-Mann hybrid iterative process
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• Fixed points of uniformly Lipschitzian mappings
• Reductive groups over a local field
• Approximating Fixed Points of Nonexpansive Mappings
• Some fixed point results for a new three steps iteration process in Banach spaces
• Convergence of Picard-Mann hybrid iterative process for generalized nonexpansive mappings in CAT(0) spaces
• Mean Value Methods in Iteration

This page was built for publication: Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces