Pointwise Contraction Criteria for the Existence of Fixed Points

DOI10.4153/CMB-1978-002-8zbMath0414.54030OpenAlexW2039163213MaRDI QIDQ3049511

Frank H. Clarke

Publication date: 1978

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-1978-002-8

zbMATH Keywords

fixed pointspointwise contractioncomplete metricweak directional contraction

Mathematics Subject Classification ID

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

Related Items (15)

On fixed points of locally and pointwise contracting maps ⋮ An ε-equilibrium point in ann-person game with constraints ⋮ Fixed point results for multivalued maps in metric spaces with generalized inwardness conditions ⋮ A generalization of Clarke's fixed point theorem ⋮ On generalized weakly directional contractions and approximate fixed point property with applications ⋮ Inward contractions on metric spaces ⋮ Mean value theorems via maximal element techniques ⋮ Weak contractor directions and weak directional contractions ⋮ Mean Value Theorems on Abstract Metric Spaces ⋮ Existence theorems for nonlinear operator equations without continuity condition ⋮ Nonconvex minimization problems ⋮ Hyperbolic spaces and directional contractions ⋮ Differential Lipschitzianness tests on abstract quasi-metric spaces ⋮ Fixed points for directional multi-valued \(k(\cdot)\)-contractions ⋮ Clarke's fixed point theorem on a complete random normed module

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