Approximating fixed points of strongly pseudocontractive mappings by a new iteration method

DOI10.1080/00036810410001724643zbMath1068.47084OpenAlexW1997792097WikidataQ58268818 ScholiaQ58268818MaRDI QIDQ4655409

Stevo Stević

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810410001724643

zbMATH Keywords

fixed pointsiteration methodstrongly pseudocontractive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Convergence and divergence of series and sequences (40A05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Additive difference equations (39A10)

Related Items (14)

Existence of bounded solutions of a class of neutral systems of functional differential equations ⋮ Asymptotically convergent solutions of a system of nonlinear functional differential equations of neutral type with iterated deviating arguments ⋮ On bounded continuously differentiable solutions with Lipschitz first derivatives of a system of functional differential equations ⋮ Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations ⋮ Existence of bounded solutions of some systems of nonlinear functional differential equations with complicated deviating argument ⋮ On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument ⋮ Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument ⋮ Local existence of Lipschitz-continuous solutions of systems of nonlinear functional equations with iterated deviations ⋮ Solutions of a system of functional differential equations in a right neighborhood of zero ⋮ On \(q\)-difference asymptotic solutions of a system of nonlinear functional differential equations ⋮ Globally bounded solutions of a system of nonlinear functional differential equations with iterated deviating argument ⋮ On solutions of a class of systems of nonlinear functional equations in a neighborhood of zero satisfying Lipschitz condition ⋮ On solutions of a class of systems of nonlinear functional differential equations of neutral type with complicated deviations of an argument ⋮ Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument

Cites Work

• An iterative process for nonlinear Lipschitzian strongly accretive mappings in \(L_ p\) spaces
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Ishikawa and Mann iterative processes with error for nonlinear strongly accretive operator equations
• On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Iterative approximation of Lipschitz strictly pseudocontractive mappings in uniformly smooth Banach spaces
• Iterative construction of fixed points for multivalued operators of the monotone type

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