Fixed point approximation of nonexpansive mappings on a nonlinear domain

DOI10.1155/2014/401650zbMath1472.47074OpenAlexW1998787205WikidataQ59037451 ScholiaQ59037451MaRDI QIDQ1724039

Safeer Hussain Khan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/401650

zbMATH Keywords

strong convergenceuniformly convex hyperbolic spacehree-step iterative process

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

• Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces
• Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces
• Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• Convergence analysis and applications of the Glowinski-Le Tallec splitting method for finding a zero of the sum of two maximal monotone operators
• Fixed points of multivalued mappings in certain convex metric spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Iteration processes for nonexpansive mappings
• A convexity in metric space and nonexpansive mappings. I.
• Nonexpansive iterations in hyperbolic spaces
• Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces
• Approximating Fixed Points of Nonexpansive Mappings
• Remarks on Some Fixed Point Theorems
• Some logical metatheorems with applications in functional analysis
• Convex analysis and monotone operator theory in Hilbert spaces
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