A definitive result on asymptotic contractions

DOI10.1016/j.jmaa.2007.01.093zbMath1128.54025OpenAlexW1978627252MaRDI QIDQ2642143

Tomonari Suzuki

Publication date: 20 August 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.093

zbMATH Keywords

fixed point\(\tau\)-distanceasymptotic contraction of final type

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (15)

Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions ⋮ Basic Fixed Point Theorems in Metric Spaces ⋮ A note on a paper of I. D. Aranđelović on asymptotic contractions ⋮ Fixed point theorems and periodic problems for nonlinear Hill's equation ⋮ A nonstandard approach to asymptotic fixed point theorems ⋮ Meir–Keeler Sequential Contractions and Applications ⋮ NEW FIXED POINT RESULTS FOR ASYMPTOTIC CONTRACTIONS AND ITS APPLICATION TO CANTILEVER BEAM PROBLEMS ⋮ A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point ⋮ Contractivity of leader type and fixed points in uniform spaces with generalized pseudodistances ⋮ Extensions and applications of ACF mappings ⋮ Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances ⋮ Leader type contractions, periodic and fixed points and new completivity in quasi-gauge spaces with generalized quasi-pseudodistances ⋮ Quasi-asymptotic contractions, set-valued dynamical systems, uniqueness of endpoints and generalized pseudodistances in uniform spaces ⋮ Subrahmanyam's fixed point theorem ⋮ Logical aspects of rates of convergence in metric spaces

Cites Work

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• A theorem on contraction mappings
• FIXED POINT THEOREMS FOR MORE GENERALIZED CONTRACTIONS IN COMPLETE METRIC SPACES
• Equivalent Cauchy sequences and contractive fixed points in metric spaces
• On Nonlinear Contractions
• Some Results on Fixed Points--II
• Fixed point theorems in metric spaces
• Generalized distance and existence theorems in complete metric spaces
• On characterizations of Meir-Keeler contractive maps

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