Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications

DOI10.1186/s13663-018-0646-zzbMath1462.54073OpenAlexW2891381814MaRDI QIDQ1991616

Yanyan Li

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1186/s13663-018-0646-z

zbMATH Keywords

bipolar metric spacecompatible mapping and common fixed pointcovariant and contravariant map

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (9)

On two Banach-type fixed points in bipolar metric spaces ⋮ Unnamed Item ⋮ On the Menger probabilistic bipolar metric spaces: fixed point theorems and applications ⋮ Remark on contraction principle in \(\mathrm{cone}_{tvs}\) \(b\)-metric spaces ⋮ \((\alpha,\text{BK})\)-contractions in bipolar metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Related results to hybrid pair of mappings and applications in bipolar metric spaces

Cites Work

• Extension of Caristi's fixed point theorem to vector valued metric spaces
• Remarks on Caristi's fixed point theorem
• On the variational principle
• Caristis fixed point theorem on C∗ -algebra valued metric spaces
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• Bipolar metric spaces and some fixed point theorems
• An Introduction to Metric Spaces and Fixed Point Theory
• Unnamed Item
• Unnamed Item

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