A fixed point result in Menger spaces using a real function

DOI10.1007/s10474-008-7242-3zbMath1265.54163OpenAlexW2017237864MaRDI QIDQ1046850

P. N. Dutta, Krishna pada Das, Binayak S. Choudhury

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-7242-3

zbMATH Keywords

fixed pointCauchy sequenceMenger space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Probabilistic metric spaces (54E70)

Related Items (17)

An altering distance function in fuzzy metric fixed point theorems ⋮ \(p-\)cyclic \(C\)-contraction result in Menger spaces using a control function ⋮ Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation ⋮ A coincidence point result in Menger spaces using a control function ⋮ Unique fixed points of \(p\)-cyclic Kannan type probabilistic contractions ⋮ The point of coincidence and common fixed point for a pair of mappings in cone metric spaces ⋮ Multivalued and singlevalued fixed point results in partially ordered metric spaces ⋮ Altering distances in probabilistic Menger spaces ⋮ Multivariate contraction mapping principle in Menger probabilistic metric spaces ⋮ On fixed point theorems involving altering distances in Menger probabilistic metric spaces ⋮ Coupled fixed point results in $G$-fuzzy metric spaces for weakly compatible mappings ⋮ Common coupled fixed point results for probabilistic \(\varphi \)-contractions in Menger spaces ⋮ Further generalization of fixed point theorems in Menger PM-spaces ⋮ A probabilistic fixed point result using altering distance functions ⋮ A generalized contraction principle in menger spaces using a control function ⋮ A global optimality result in probabilistic spaces using control function ⋮ Common fixed point results for non-compatible R-weakly commuting mappings in probabilistic semimetric spaces using control functions

Cites Work

• A fixed point theorem in Menger space through weak compatibility
• On the existence and the uniqueness of fixed points of Sehgal contractions
• Some fixed point theorems by altering distances between the points
• Generalized contraction mapping principles in probabilistic metric spaces
• Common fixed point theorems for nonself-mappings in metrically convex spaces via altering distances
• Common fixed point theorems in probabilistic metric spaces
• A new contraction principle in Menger spaces
• A generalization of a contraction principle in probabilistic metric spaces. II
• Fixed point theorems by altering distances between the points
• Some Fixed Point Theorems in Metric Spaces by Altering Distances
• Generalized contraction mapping principle and differential equations in probabilistic metric spaces
• Fixed points of contraction mappings on probabilistic metric spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A fixed point result in Menger spaces using a real function