Some common fixed point results in partially ordered metric spaces for generalized rational type contraction mappings

DOI10.1007/S10013-013-0024-4zbMath1441.54030OpenAlexW2085631261MaRDI QIDQ382135

Tulsi Dass Narang, Mohamed-Aziz Taoudi, Sumit Chandok

Publication date: 18 November 2013

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0024-4

zbMATH Keywords

common fixed pointcompatible mappingsweakly compatible mappingsordered metric spacesrational type contraction mappings

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (7)

Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings ⋮ Some theorems in partial metric space using auxiliary functions ⋮ Fixed point theorems on \(b\)-metric spaces for weak contractions with auxiliary functions ⋮ Coupled common fixed point theorems for generalized nonlinear contraction mappings with the mixed monotone property in partially ordered metric spaces ⋮ Unnamed Item ⋮ Some common fixed point results for rational type contraction mappings in complex valued metric spaces ⋮ Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions

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• Some coupled common fixed point theorems for a pair of mappings satisfying a contractive condition of rational type without monotonicity
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