Darbo type fixed and coupled fixed point results and its application to integral equation
type: Item
instance of: scholarly article
title: Darbo type fixed and coupled fixed point results and its application to integral equation
zbMATH Open document ID: 1413.54147
author: R. Arab
author: Ravi P. Agarwal
author: Ali Shole Haghighi
author: Hemant Kumar Nashine
published in: Periodica Mathematica Hungarica
publication date: 2018-09-03T00:00:00Z
review text: The authors give two notions of contraction mappings involving measure of noncompactness in Banach space and establish Darbo type fixed point theorems. The results are correlated to the theory of integral equations. For similar result see, e.g., a work of the two authors \textit{H. K. Nashine} and \textit{R. Arab} [J. Fixed Point Theory Appl. 20, No. 2, Paper No. 66, 17 p. (2018; Zbl 1499.45012)].
reviewed by: Salvatore Sessa
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6931205
zbMATH Keywords: fixed point
zbMATH Keywords: coupled fixed point
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: functional-integral equations
MaRDI profile type: Publication
full work available at URL: s10998-017-0223-y
OpenAlex ID: W2763535636
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DOI: 10.1007/S10998-017-0223-Y
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description: scientific article; zbMATH DE number 6931205