Coupled hybrid fixed point theory involving the sum and product of three coupled operators in a partially ordered Banach algebra with applications

DOI10.1007/s11784-017-0471-8zbMath1493.47068OpenAlexW2753945802MaRDI QIDQ1684924

Bapurao C. Dhage

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0471-8

zbMATH Keywords

partially ordered Banach spacecoupled hybrid fixed point principlecoupled quadratic integral equationsexistence and approximation theorempartial measure of noncompactness

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

Fixed point results for \(C\)-class functions in modular metric spaces, Existence of a common solution to systems of integral equations via fixed point results, A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications, Commuting and compatible mappings in digital metric spaces, Coupled and mixed coupled hybrid fixed point principles in a partially ordered Banach algebra and PBVPs of nonlinear coupled quadratic differential equations

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