Weakly compatible and quasi-contraction results in fuzzy cone metric spaces with application to the Urysohn type integral equations

DOI10.1186/s13662-020-02743-5zbMath1482.45006OpenAlexW3034930429MaRDI QIDQ2078485

Shamoona Jabeen, Wei Wei, Saif Ur Rehman, Zhi Ming Zheng

Publication date: 28 February 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02743-5

zbMATH Keywords

common fixed pointcoincidence pointweakly compatible mappingsfuzzy cone metric spacecontraction conditions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Abstract integral equations, integral equations in abstract spaces (45N05) Fuzzy functional analysis (46S40) Fuzzy operator theory (47S40)

Related Items (12)

Some coincidence and common fixed point results in fuzzy metric space with an application to differential equations ⋮ Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations ⋮ Some rational coupled fuzzy cone contraction theorems in fuzzy cone metric spaces with an application ⋮ Convergence results based on graph-Reich contraction in fuzzy metric spaces with application ⋮ An approach of Lebesgue integral in fuzzy cone metric spaces via unique coupled fixed point theorems ⋮ A new approach to fuzzy differential equations using weakly-compatible self-mappings in fuzzy metric spaces ⋮ Rational type fuzzy-contraction results in fuzzy metric spaces with an application ⋮ Rational fuzzy cone contractions on fuzzy cone metric spaces with an application to Fredholm integral equations ⋮ Some novel generalized strong coupled fixed point findings in cone metric spaces with application to integral equations ⋮ Some \(\alpha\)-\(\phi \)-fuzzy cone contraction results with integral type application ⋮ Some compatible and weakly-compatible four self-mapping results approach to nonlinear integral equations in fuzzy cone metric spaces ⋮ Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

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