A Remark on Directional Contractions

DOI10.2307/2040946zbMath0367.47031OpenAlexW4249710898MaRDI QIDQ4143806

William O. Ray, William A. Kirk

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2040946

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Special maps on metric spaces (54E40)

Related Items (6)

Mean value theorems via maximal element techniques ⋮ Weak contractor directions and weak directional contractions ⋮ Existence theorems for nonlinear operator equations without continuity condition ⋮ Drop theorems and lipschitzianness tests via maximality procedures ⋮ Hyperbolic spaces and directional contractions ⋮ Differential Lipschitzianness tests on abstract quasi-metric spaces

Cites Work

• Contractor directions, directional contractors and directional contractions for solving equations
• On a lemma of Bishop and Phelps
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Caristi's fixed point theorem and metric convexity
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