Fixed point approximation of Picard normal \(S\)-iteration process for generalized nonexpansive mappings in hyperbolic spaces

DOI10.1007/s40096-016-0187-8zbMath1368.47063OpenAlexW2500079372WikidataQ59460842 ScholiaQ59460842MaRDI QIDQ2398013

Samir Dashputre, Mohammad Imdad

Publication date: 14 August 2017

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40096-016-0187-8

zbMATH Keywords

uniformly convex hyperbolic spacesgeneralized nonexpansive mappingsstrong and \(\Delta\)-convergencePicard normal \(S\)-iteration process

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Unnamed Item ⋮ On a four-step iterative algorithm and its application to delay integral equations in hyperbolic spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed-point approximations of generalized nonexpansive mappings via generalized M-iteration process in hyperbolic spaces ⋮ A rapid-converging analytical iterative scheme for solving singular initial value problems of Lane-Emden type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
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• Unnamed Item
• New iteration scheme for numerical reckoning fixed points of nonexpansive mappings
• An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces
• Fixed point theory for a class of generalized nonexpansive mappings
• Generalized \(C\)-conditions and related fixed point theorems
• Über die Methode sukzessiver Approximationen
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• New approximation schemes for general variational inequalities
• Fixed point approximation of generalized nonexpansive mappings in hyperbolic spaces
• Existence and approximation results for SKC mappings in CAT(0) spaces
• Fixed point theorems and convergence theorems for some generalized nonexpansive mappings
• 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
• Some fixed point theorems in metric spaces
• Fixed Points by a New Iteration Method
• Some logical metatheorems with applications in functional analysis
• Mean Value Methods in Iteration

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