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

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Published: Mar 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.50.2019.2502
Keywords:
Coupled hybrid fixed point principle Coupled periodic boundary value problem Existence and approximation theorem.

Main Article Content

Bapurao Chandrabahan Dhage

Abstract

In this paper we prove a coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space and apply to a pair of nonlinear second order coupled linearly perturbed hybrid differential equations with the periodic boundary conditions for proving the existence and approximation of coupled solutions under certain mixed hybrid conditions. The abstract existence result of the coupled periodic boundary value problems is also illustrated by furnishing a numerical example.

Article Details

How to Cite
Dhage, B. C. (2018). A coupled hybrid fixed point theorem involving the sum of two coupled operators in a partially ordered Banach space with applications. Tamkang Journal of Mathematics, 50(1), 1–36. https://doi.org/10.5556/j.tkjm.50.2019.2502
Issue
Vol. 50 No. 1 (2019)
Section
Papers
Author Biography

Bapurao Chandrabahan Dhage

Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur,Maharashtra, India.

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