Fixed point theorems for simulation functions in $\mbox{b}$-metric spaces via the $wt$-distance

DOI10.4995/agt.2017.6322OpenAlexW2605111078WikidataQ59306840 ScholiaQ59306840MaRDI QIDQ2974443

Chirasak Mongkolkeha, Poom Kumam, Yeol Je Cho

Publication date: 7 April 2017

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2017.6322

zbMATH Keywords

fixed point\(w\)-distance\(b\)-metric spacegeneralized distancesimulation function\(wt\)-distance

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Fixed point theorems in ordered metric spaces via \(w\)-distances
• Lectures on analysis on metric spaces
• Distance type and common fixed point theorems in Menger probabilistic metric type spaces
• Some theorems on weakly contractive maps.
• On the topology and \(wt\)-distance on metric type spaces
• A Comparison of Various Definitions of Contractive Mappings
• Contractive mappings, Kannan mappings and metric completeness
• A proof of the Generalized Banach Contraction Conjecture
• A new approach to the study of fixed point theory for simulation functions
• On Contractive Mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item