The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm

DOI10.1007/978-3-319-31281-1_4zbMath1458.54030OpenAlexW2492601959MaRDI QIDQ5348501

Ioan A. Rus, Marcel-Adrian Şerban, Adrian Petruşel, Vasile Berinde

Publication date: 18 August 2017

Published in: Mathematical Analysis, Approximation Theory and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31281-1_4

zbMATH Keywords

fixed pointcomparison functionPicard operatorconvergent iterative algorithmretraction-displacement condition

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Retraction (54C15) Special maps on metric spaces (54E40) Fixed-point iterations (47J26)

Related Items

Stability of Picard operators under operator perturbations ⋮ Fixed point structures on a set-mapping pair and Cartesian product ⋮ Relevant classes of weakly Picard operators ⋮ Ulam Stability of Zero Point Equations ⋮ Graphic Contraction Principle and Applications ⋮ The Relevance of a Metric Condition on a Pair of Operators in Common Fixed Point Theory ⋮ Fixed point results for decreasing convex orbital operators in Hilbert spaces ⋮ Graph contractions in vector-valued metric spaces and applications ⋮ Existence and stability results for a system of operator equations via fixed point theory for nonself orbital contractions ⋮ Fixed point theory in graph metric spaces ⋮ Local fixed point results for graphic contractions ⋮ Asymptotic regularity, fixed points and successive approximations ⋮ Saturated contraction principles for non self operators, generalizations and applications

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