\(p-\)cyclic \(C\)-contraction result in Menger spaces using a control function

DOI10.1515/dema-2016-0018zbMath1346.54019OpenAlexW2567615630MaRDI QIDQ292431

Samir Kumar Bhandari, Binayak S. Choudhury

Publication date: 8 June 2016

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2016-0018

zbMATH Keywords

fixed point\(\phi\)-functionCauchy sequenceMenger space\(\psi\)-function\(C\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Probabilistic metric spaces (54E70)

Related Items (2)

Probabilistic \(\alpha\)-min Ciric type contraction results using a control function ⋮ Probabilistic \(p\)-cyclic contractions using different types of \(t\)-norms

Cites Work

• A coincidence point result in Menger spaces using a control function
• Best proximity point theorems for cyclic orbital Meir-Keeler contraction maps
• Altering distances in probabilistic Menger spaces
• Existence and uniqueness of best proximity points in geodesic metric spaces
• Best proximity points: convergence and existence theorems for \(p\)-cyclic mappings
• Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• A fixed point result in Menger spaces using a real function
• Convergence theorems, best approximation and best proximity for set-valued dynamic systems of relatively quasi-asymptotic contractions in cone uniform spaces
• Some fixed point theorems by altering distances between the points
• Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation
• Multivalued generalizations of probabilistic contractions
• A multivalued generalization of Hick's \(C\)-contraction
• On fixed point theorems involving altering distances in Menger probabilistic metric spaces
• Best proximity points for cyclic Meir-Keeler contractions
• Nonlinear contraction theorems in probabilistic spaces
• A new contraction principle in Menger spaces
• Extension of contractive maps in the Menger probabilistic metric space
• A generalized contraction principle in menger spaces using a control function
• Fixed point theorems by altering distances between the points
• Some Fixed Point Theorems in Metric Spaces by Altering Distances
• Fixed points of contraction mappings on probabilistic metric spaces
• Statistical Metrics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: \(p-\)cyclic \(C\)-contraction result in Menger spaces using a control function