Fixed Point Theorems for Nonexpansive Mappings Satisfying Certain Boundary Conditions

DOI10.2307/2040530zbMath0322.47036OpenAlexW4241795425MaRDI QIDQ4084851

William A. Kirk

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2040530

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items

Continuation methods in certain metric and geodesic spaces ⋮ Nonexpansive mappings defined on unbounded domains ⋮ Fixed points for pseudocontractive mappings on unbounded domains ⋮ The Leray-Schauder condition for continuous pseudo-contractive mappings ⋮ Fixed Point Theorems for Mappings Satisfying Inwardness Conditions ⋮ Zeros for accretive operators satisfying certain boundary conditions

Cites Work

• Structure of the fixed points sets of k-set-contractions
• Differential equations on convex sets
• The fixed point index for local condensing maps
• Remarks on condensing and \(k\)-set-contractive mappings
• Fixed point theorems for set-valued mappings of contractive type
• Fixed points of condensing functions
• A fixed point theorem for k-set-contractions defined in a cone
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• A Fixed-Point Theorem for Inward and Outward Maps
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Fixed point theorems for nonlinear nonexpansive and generalized contraction mappings
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