Coincidence and fixed points for multi-valued mappings and its application to nonconvex integral inclusions

DOI10.1016/j.cam.2014.12.019zbMath1310.54063OpenAlexW2003646949MaRDI QIDQ2018499

Yeol Je Cho, Ravi P. Agarwal, Hemant Kumar Pathak

Publication date: 24 March 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.12.019

zbMATH Keywords

Hausdorff metric\(\mathcal{MT}\)-functionmulti-valued contraction\(\mathcal{P}\)-functionFilippov type existencenonconvex integral inclusion

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Fuzzy fixed point theorems and Ulam-Hyers stability of fuzzy set-valued maps ⋮ Stability of intuitionistic fuzzy set-valued maps and solutions of integral inclusions ⋮ Some fixed point theorems for \((\alpha,\theta,k)\)-contractive multi-valued mappings with some applications ⋮ Common fixed point theorems for hybrid contractive pairs with the \((CLR)\)-property ⋮ A fixed point result and the stability problem in Lie superalgebras ⋮ Fixed point theorems for generalized Mizoguchi-Takahashi graphic contractions ⋮ Analysis of fractional differential inclusion models for COVID-19 via fixed point results in metric space ⋮ On Caputo-Hadamard type coupled systems of nonconvex fractional differential inclusions ⋮ On nonlinear fuzzy set-valued \(\Theta\)-contractions with applications ⋮ On multivalued hybrid contractions with applications ⋮ Unnamed Item ⋮ Corrigendum to: ``Coincidence and fixed points for multi-valued mappings and its application to nonconvex integral inclusions. ⋮ Unnamed Item ⋮ \(C^*\)-algebra valued fuzzy soft metric spaces and results for hybrid pair of mappings ⋮ Common $e$-soft fixed points of soft set-valued maps ⋮ On coincidence point and fixed point theorems for a general class of multivalued mappings in incomplete metric spaces with an application

Cites Work

• Coupled coincidence point theorems for generalized nonlinear contraction in partially ordered metric spaces
• On coincidence point and fixed point theorems for nonlinear multivalued maps
• On a general class of multi-valued weakly Picard mappings
• Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces
• Some new results and generalizations in metric fixed point theory
• Convex analysis and measurable multifunctions
• Fixed point theorems for multivalued mappings on complete metric spaces
• Fixed points of generalized contractive multi-valued mappings
• Nonlinear contractive conditions for coupled cone fixed point theorems
• Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces
• Fixed point theorems for set-valued contractions in complete metric spaces
• Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's
• Multi-valued contraction mappings
• Some problems and results in fixed point theory
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