Measure of Noncompactness in Banach Algebra and Its Application on Integral Equations of Two Variables

Anupam Das () and Bipan Hazarika ()
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Anupam Das: Rajiv Gandhi University, Department of Mathematics
Bipan Hazarika: Gauhati University, Department of Mathematics

Chapter Chapter 13 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 311-332 from Springer

Abstract: Abstract The aim of this chapter is to introduce a class of measure of noncompactness satisfying certain conditions. We apply it to establish a few theorems on existence of solution integral equations of two variables in Banach algebra. Further, we explain the results with the help of examples.

Keywords: Measure of noncompactness; Fixed point theorem; Functional Integral Equations; Banach Algebra. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_13

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DOI: 10.1007/978-981-33-6647-3_13

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