F ( ψ , φ ) $F(\psi,\varphi)$ -Contraction in terms of measure of noncompactness with application for nonlinear integral equations

F ( ψ , φ ) $F(\psi,\varphi)$ -Contraction in terms of measure of noncompactness with application for nonlinear integral equations

Abstract In this paper, some new generalization of Darbo’s fixed point theorem is proved by using a F ( ψ , φ ) $F(\psi,\varphi)$ -contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an applic...

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Bibliographic Details
Main Authors: Farzaneh Nikbakhtsarvestani, S Mansour Vaezpour, Mehdi Asadi
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of Inequalities and Applications
Subjects:
fixed point
measure of noncompactness
F ( ψ , φ ) $F(\psi,\varphi)$ -contraction
Online Access:http://link.springer.com/article/10.1186/s13660-017-1545-2

Internet

http://link.springer.com/article/10.1186/s13660-017-1545-2

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