A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications

DOI10.7153/dea-2017-09-31OpenAlexW2779593058MaRDI QIDQ4684148

Bapurao C. Dhage

Publication date: 27 September 2018

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2017-09-31

zbMATH Keywords

partially ordered Banach spacecoupled hybrid fixed point principleexistence and approximation theorempartial measure of noncompactnesscoupled periodic boundary value problem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (4)

Existence and stability of solutions for a system of quadratic integral equations in Banach algebras ⋮ Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems ⋮ Coupled and mixed coupled hybrid fixed point principles in a partially ordered Banach algebra and PBVPs of nonlinear coupled quadratic differential equations ⋮ Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

Cites Work

• Approximating positive solutions of PBVPs of nonlinear first order ordinary quadratic differential equations
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• A fixed point theorem for mixed monotone operators with applications
• Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming
• Basic theory for nonresonance impulsive periodic problems of first order
• Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions
• Coupled hybrid fixed point theory in a partially ordered metric space and attractivity of nonlinear hybrid fractional integral equations
• Coupled hybrid fixed point theory involving the sum and product of three coupled operators in a partially ordered Banach algebra with applications
• Fixed point theorems in partially ordered Banach spaces with applications to nonlinear fractional evolution equations
• Remarks on two fixed-point theorems involving the sum and the product of two operators
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Some generalizations of a hybrid fixed point theorem in partially ordered metric spaces and nonlinear functional integral equations
• Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations
• Fixed Point Theory in Ordered Sets and Applications
• Approximating Coupled Solutions of Coupled PBVPs of Non-linear First Order Ordinary Differential Equations
• Partially condensing mappings in partially ordered normed linar spaces and applications to functional integral equations
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