A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem

DOI10.1186/s13663-015-0431-1zbMath1348.54060OpenAlexW1867670316WikidataQ59402883 ScholiaQ59402883MaRDI QIDQ288181

Pedro Tirado, Salvador Romaguera

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0431-1

zbMATH Keywords

fixed pointcompleterecurrence equationCaristi theoremquasi-metricSmyth complete

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Complete metric spaces (54E50) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (8)

SOME EXTENSION OF CARISTI FIXED POINT IN QUASI-METRIC SPACE ⋮ A fixed point theorem of Kannan type that characterizes fuzzy metric completeness ⋮ Characterizations of quasi-metric and \(G\)-metric completeness involving \(w\)-distances and fixed points ⋮ Fixed points and completeness in metric and generalized metric spaces ⋮ Unnamed Item ⋮ A survey on interpolative and hybrid contractions ⋮ Functional-type Caristi-Kirk theorem on Menger space and application ⋮ Caristi-type fixed point theorem over Száz principle in quasi-metric space with a graph

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on Caristi-type cyclic maps: related results and applications
• Completeness in quasi-metric spaces and Ekeland variational principle
• The average running time of an algorithm as a midpoint between fuzzy sets
• Applications of the complexity space to the general probabilistic divide and conquer algorithms
• A Kirk type characterization of completeness for partial metric spaces
• An extension of the dual complexity space and an application to computer science
• Cauchy sequences in quasi-pseudo-metric spaces
• On the Yoneda completion of a quasi-metric space
• Quasi-metric properties of complexity spaces
• Generalizations of Caristi-Kirk's theorem on partial metric spaces
• On generalizations of the Ekeland-type variational principles.
• Quasicone metric spaces and generalizations of Caristi Kirk's theorem
• A note on `Modified proof of Caristi's fixed point theorem on partial metric spaces'
• On a lemma of Bishop and Phelps
• Some generalizations of Caristi type fixed point theorem on partial metric spaces
• Functional Analysis in Asymmetric Normed Spaces
• The complexity space of partial functions: a connection between complexity analysis and denotational semantics
• Difference Equations
• Domain theoretic characterisations of quasi-metric completeness in terms of formal balls
• The space of formal balls and models of quasi-metric spaces
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Shorter Notes: Fixed Points and Partial Orders
• Caristi's fixed point theorem and metric convexity
• The Smyth Completion
• Some Properties of Quasi-Uniform Spaces

This page was built for publication: A characterization of Smyth complete quasi-metric spaces via Caristi's fixed point theorem