Fixed Point Theorems in Reflexive Banach Spaces

DOI10.2307/2038781zbMath0265.47038OpenAlexW4206111420MaRDI QIDQ5682845

R. Kannan

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038781

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Nonexpansive Mappings, Their Extensions, and Generalizations in Banach Spaces ⋮ Approximating fixed points of a general class of nonexpansive mappings in Banach spaces with applications ⋮ Reflexivity of a Banach Space with a Uniformly Normal Structure ⋮ Iterative approximation of fixed points of a general class of non-expansive mappings in hyperbolic metric spaces ⋮ Some fixed point results for \((c)\)-mappings in Banach spaces ⋮ Some theorems on fixed points in Lipschitz- and Kannan-type mappings ⋮ Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces ⋮ Some fixed point theorems in convex metric spaces ⋮ Fixed points of nonexpansive mappings on star-shaped subsets of a convex metric space ⋮ Approximating best proximity points for Reich type non-self nonexpansive mappings ⋮ On Kannan Maps ⋮ On the Mann iteration process in a Hilbert space ⋮ A Survey on Best Proximity Point Theory in Reflexive and Busemann Convex Spaces ⋮ Approximation of fixed point and its application to fractional differential equation ⋮ Global optimization of cyclic Kannan nonexpansive mappings in nonreflexive Banach spaces ⋮ Construction of fixed points of a class of nonlinear mappings ⋮ Approximation to Fixed Points of Generalized Nonexpansive Mappings ⋮ Hyperbolic spaces and directional contractions ⋮ Close-to-normal structure and its applications ⋮ Coincidence and fixed point theorems for nonlinear hybrid generalized contractions

Cites Work

• Unnamed Item
• Unnamed Item
• Normal structure in Banach spaces
• An elementary proof of the fixed-point theorem of Browder and Kirk
• Common fixed points for commuting contraction mappings
• 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
• Some Results on Fixed Points--II
• Some results on fixed points - III
• Some results on fixed points — IV
• Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings