Nonlinear contractions and fixed point theorems with modified ω-distance mappings in complete quasi metric spaces

DOI10.22436/jnsa.010.10.20zbMath1412.54054OpenAlexW2765174789MaRDI QIDQ5743203

Inam Nuseir, Issam Abu Irwaq, Anwar Bataihah, Wasfi A. Shatanawi

Publication date: 9 May 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.10.20

zbMATH Keywords

fixed point theoremnonlinear contractionaltering distancequasi metricmodified \(\omega\)-distance

Mathematics Subject Classification ID

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

Related Items (2)

Unnamed Item ⋮ Fixed point theorems through modified \(\Omega\)-distance and application to nontrivial equations

Cites Work

• Modified \(w\)-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces
• Remarks on \(G\)-metric spaces and fixed point theorems
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Coupled fixed point theorems for \(\phi\)-contractive mixed monotone mappings in partially ordered metric spaces
• Three fixed point theorems for generalized contractions with constants in complete metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Completeness and fixed-points
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• Some coupled fixed point theorems in quasi-partial metric spaces
• Fixed point theorems by altering distances between the points
• A Generalization of Banach's Contraction Principle
• A generalized Banach contraction principle that characterizes metric completeness
• On Contractive Mappings
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
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