Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces

DOI10.1155/2018/9435470zbMath1488.54186OpenAlexW2792656287MaRDI QIDQ1746792

Tomonari Suzuki

Publication date: 25 April 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9435470

zbMATH Keywords

Caristi's fixed point theoremBanach's contraction principlesemimetric spaces\(\sum\)-semicomplete

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (2)

Properties and principles in Branciari distance space ⋮ Applications of ball spaces theory: fixed point theorems in semimetric spaces and ball convergence

Cites Work

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• Redefinition of \(\tau\)-distance in metric spaces
• Nonlinear Contractions on Semimetric Spaces
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Caristi's fixed point theorem and metric convexity
• Generalized distance and existence theorems in complete metric spaces

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