A generalization of the Banach contraction principle in noncomplete metric spaces

DOI10.2298/FIL1711357SzbMath1499.54211WikidataQ130125483 ScholiaQ130125483MaRDI QIDQ5020097

Tomonari Suzuki

Publication date: 4 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

fixed pointBanach contraction principlecompletenessBanach fixed point property

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completeness and fixed-points
• On the variational principle
• Equivalent conditions and the Meir-Keeler type theorems
• A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point. II
• Several fixed point theorems concerning \(\tau\)-distance
• Multi-valued contraction mappings
• A theorem on contraction mappings
• On the converse of Banach "fixed-point principle"
• An Extension of Banach's Contraction Principle
• On a converse to Banach’s Fixed Point Theorem
• Equivalence of completeness and contraction property
• Fixed point theorems for contractive mappings in metric spaces
• A Generalization of Banach's Contraction Principle
• A Generalization of a Fixed Point Theorem of Goebel, Kirk and Shimi
• Caristi's fixed point theorem and metric convexity
• Shorter Notes: A Characterization of Metric Completeness
• Completeness and the Contraction Principle
• A generalized Banach contraction principle that characterizes metric completeness
• Properties of Fixed Point Spaces
• Generalized distance and existence theorems in complete metric spaces

This page was built for publication: A generalization of the Banach contraction principle in noncomplete metric spaces