On Kannan Maps

DOI10.2307/2040215zbMath0265.47039OpenAlexW4232384483MaRDI QIDQ5682846

Chi Song Wong

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040215

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (19)

Best proximity points, cyclic Kannan maps and geodesic metric spaces ⋮ Common fixed point theorems for semigroup actions of Kannan's type on strictly convex Banach spaces ⋮ On Olaleru's open problem on Gregus fixed point theorem ⋮ Fixed points of nonexpansive mappings ⋮ Cyclic \(G\)-\(\Omega \)-weak contraction-weak nonexpansive mappings and some fixed point theorems in metric spaces ⋮ Some questions in metric fixed point theory, by A. W. Kirk, revisited ⋮ Some fixed point results for \((c)\)-mappings in Banach spaces ⋮ Some theorems on fixed points in Lipschitz- and Kannan-type mappings ⋮ A characterization of totally normal structure ⋮ Fixed points of nonexpansive mappings on star-shaped subsets of a convex metric space ⋮ An extension of Gregus fixed point theorem ⋮ The fixed point theory for some generalized nonexpansive mappings ⋮ Normal structure and fixed point properties for some Banach algebras ⋮ A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces ⋮ On the failure of close-to-normal structure type conditions and pathological Kannan maps ⋮ Noncyclic mappings and best proximity pair results in Hilbert and uniformly convex Banach spaces ⋮ Fixed point results for generalized nonexpansive and Suzuki mappings with application in \(L^1 (\Omega, \Sigma, \mu)\) ⋮ Hyperbolic spaces and directional contractions ⋮ Coincidence and fixed point theorems for nonlinear hybrid generalized contractions

Cites Work

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• Close-to-normal structure and its applications
• Normal structure in Banach spaces
• Fixed points and characterizations of certain maps
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Fixed-Point Theorems for Certain Classes of Nonexpansive Mappings
• Common Fixed-Points for Equicontinuous Semigroups of Mappings
• Common Fixed Points for Semigroups of Mappings
• Fixed Point Theorems in Reflexive Banach Spaces
• Locally Uniformly Convex Banach Spaces
• Fixed point theorems for nonexpansive mappings

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