New generalized fuzzy metrics and fixed point theorem in fuzzy metric space

DOI10.1186/1687-1812-2014-241zbMath1469.54177OpenAlexW2130432925WikidataQ59398718 ScholiaQ59398718MaRDI QIDQ287550

Raobert Plebaniak

Publication date: 20 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-241

zbMATH Keywords

fuzzy setsfixed pointfuzzy metric spacecontraction of Banach typefuzzy metricsgeneralized fuzzy metrics

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy topology (54A40) Special maps on metric spaces (54E40)

Related Items (1)

Some fixed point theorems for φ-contractive mappings in fuzzy normed linear spaces

Cites Work

• Fixed points for modified fuzzy \(\psi\)-contractive set-valued mappings in fuzzy metric spaces
• Fixed points of fuzzy contractive set-valued mappings and fuzzy metric completeness
• Coupled coincidence point theorems for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces
• A fixed point theorem of Subrahmanyam type in uniform spaces with generalized pseudodistances
• Statistical metric spaces
• On fuzzy metrizability
• Fixed points in fuzzy metric spaces
• Fuzzy pseudo-metric spaces
• Contraction maps on probabilistic metric spaces
• An improved criterion for fixed points of contraction mappings
• Metric spaces in fuzzy set theory
• On fixed-point theorems in fuzzy metric spaces
• Fixed point theorems and Cauchy sequences in fuzzy metric spaces
• A Banach contraction theorem in fuzzy metric spaces
• Coupled fixed points for multivalued mappings in fuzzy metric spaces
• Common fixed point theorems for nonlinear contractive mappings in fuzzy metric spaces
• On the tripled fixed point and tripled coincidence point theorems in fuzzy normed spaces
• A theorem on contraction mappings
• A Note on Contractive Mappings
• Remarks on a paper by F. Browder about contraction
• Equivalent Cauchy sequences and contractive fixed points in metric spaces
• Positive definite functions and coincidences
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• Contractions and completely continuous mappings
• Equivalence of some contractivity properties over metrical structures
• Integral equations, implicit functions, and fixed points
• On Nonlinear Contractions
• Fixed points of contraction mappings on probabilistic metric spaces
• On Contractive Mappings
• On fuzzy metric spaces
• On some results in fuzzy metric spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: New generalized fuzzy metrics and fixed point theorem in fuzzy metric space