Normal structure and orbital fixed point conditions

DOI10.1016/j.jmaa.2018.02.022zbMath1392.54032OpenAlexW2792771147MaRDI QIDQ1747044

Naseer Shahzad, William A. Kirk

Publication date: 3 May 2018

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.2018.02.022

zbMATH Keywords

fixed pointnormal structureBanach spaceorbitally nonexpansive map

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Geometry and structure of normed linear spaces (46B20)

Related Items

Approximate fixed points of \(\alpha\)-nonexpansive mappings, Fixed points and common fixed points for orbit-nonexpansive mappings in metric spaces, Fixed points of set-valued mappings satisfying a Banach orbital condition, On the coupling of the homotopy perturbation method and new integral transform for solving systems of partial differential equations, A characterization of weak proximal normal structure and best proximity pairs

Cites Work

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• Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
• Diametrically complete sets and normal structure
• The fixed point theory for some generalized nonexpansive mappings
• Permanence properties of normal structure
• On asymptotic pointwise contractions in metric spaces
• Asymptotic pointwise contractions
• Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
• A characterization of proximal normal structure via proximal diametral sequences
• On nonlinear mappings of strongly semicontractive type
• Nonexpansive mappings and the weak closure of sequences of iterates
• Mappings of generalized contractive type
• ORBITALLY NONEXPANSIVE MAPPINGS
• Diametrically contractive mappings
• Diametrically Maximal and Constant Width Sets in Banach Spaces
• Asymptotic Normal Structure and Fixed Points of Nonexpansive Mappings
• A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• Characterizations of Normal Structure
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
• Proximal normal structure and relatively nonexpansive mappings