Approximating fixed points for nonlinear generalized mappings using Ishikawa iteration

DOI10.1007/S12215-018-0349-7zbMath1480.47105OpenAlexW2809143454MaRDI QIDQ2422582

Cristian Daniel Alecsa

Publication date: 20 June 2019

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0349-7

zbMATH Keywords

convergencefixed pointIshikawa iterationgeneralized contractionconvex metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point iterations (47J26)

Cites Work

• Common fixed points for some generalized contraction pairs in convex metric spaces
• Fixed point theorems in convex metric spaces
• Simpler is also better in approximating fixed points
• Fixed point theorems in cone Banach spaces
• A convexity in metric space and nonexpansive mappings. I.
• Approximating common fixed points for a pair of generalized nonlinear mappings in convex metric space
• Iterative methods for the class of quasi-contractive type operators and comparsion of their rate of convergence in convex metric spaces
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
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