Hybrid fixed point theory for strictly monotone increasing multi-valued mappings with applications

DOI10.1016/j.camwa.2006.10.020zbMath1144.47041OpenAlexW2085409612MaRDI QIDQ2459623

Bapurao C. Dhage

Publication date: 7 November 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.10.020

zbMATH Keywords

differential inclusionexistence theoremordered Banach spacehybrid fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Ordinary differential inclusions (34A60) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (8)

Hybrid fixed point result for lipschitz homomorphisms on quasi-Banach algebras ⋮ Existence theorems for hyperbolic differential inclusions in Banach algebras ⋮ Coupled coincidence and common fixed point theorems for hybrid pair of mappings ⋮ Common fixed point of \(g\)-approximative multivalued mapping in ordered partial metric space ⋮ Tripled coincidence and common fixed point results for two pairs of hybrid mappings ⋮ Fixed points of multivalued operators in ordered metric spaces with applications ⋮ Hybrid fixed points of multivalued operators in metric spaces with applications ⋮ Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Multi-valued operators and fixed point theorems in Banach algebras. I
• A general multi-valued hybrid fixed point theorem and perturbed differential inclusions
• Fixed-point theorems for discontinuous multivalued operators on ordered spaces with applications
• A functional differential equation in Banach algebras
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