Some common fixed point results for rational type contraction mappings in complex valued metric spaces

DOI10.1155/2013/813707zbMath1300.54059OpenAlexW2156377598WikidataQ59020461 ScholiaQ59020461MaRDI QIDQ472522

Sumit Chandok, Deepak Kumar

Publication date: 19 November 2014

Published in: Journal of Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/813707

Mathematics Subject Classification ID

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

Related Items (14)

Common fixed point results for couples \((f,g)\) and \((S,T)\) satisfy strong common limit range property ⋮ Some theorems in partial metric space using auxiliary functions ⋮ Common fixed point results for weakly compatible mappings under contractive conditions of integral type in complex valued metric spaces ⋮ A unique common coupled fixed point theorem for Jungck type maps in complex valued \(b\)-metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solving nonlinear and dynamic programming equations on extended \(b\)-metric spaces with the fixed-point technique ⋮ Unnamed Item ⋮ Common fixed point results for contractive mappings in complex valued metric spaces ⋮ Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space ⋮ Common fixed points of \(f\)-contraction mappings in complex valued metric spaces ⋮ FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION ⋮ FIXED POINT THEOREMS USING (CLCS) PROPERTY IN COMPLEX VALUED $b$-METRIC SPACES ⋮ Various generalizations of metric spaces and fixed point theorems

Cites Work

• Generalized common fixed point theorems in complex valued metric spaces and applications
• Some common fixed point results in partially ordered metric spaces for generalized rational type contraction mappings
• Common fixed points for \(R\)-weakly commuting in fuzzy metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Common fixed points, invariant approximation and generalized weak contractions
• Compatible mappings and common fixed points. II
• Urysohn integral equations approach by common fixed points in complex-valued metric spaces
• Coupled fixed point theorems for a pair of weakly compatible maps along with \textit{CLRg} property in fuzzy metric spaces
• Compatible mapping and common fixed points
• Some common fixed point theorems for generalized nonlinear contractive mappings
• Common Fixed Point Theorems in Complex Valued Metric Spaces
• Some common fixed point theorems for Ciric type contraction mappings
• Common Fixed Points for Commuting and Compatible Maps on Compacta
• Some common fixed point results for rational type contraction mappings in partially ordered metric spaces
• Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type without monotonicity
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