Solvability of system of Volterra integral equations via measure of noncompactness

In this article, we present some fixed point and coupled fixed point theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via the measure of noncompactness (M.N.C). Then we define and present a new class of generalized F-contractions, to upgrade some results of Falest a...

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Bibliographic Details
Published inComputational & applied mathematics Vol. 40; no. 5
Main Authors Nasiri, H., Roshan, J. R., Mursaleen, M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2021
Springer Nature B.V
Subjects
Applications of Mathematics
Applied physics
Banach spaces
Computational mathematics
Computational Mathematics and Numerical Analysis
Fixed points (mathematics)
Integral equations
Mathematical analysis
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Volterra integral equations
47H09
contraction
Measure of noncompactness
47H08
Volterra integral equations
45G15
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Summary:In this article, we present some fixed point and coupled fixed point theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via the measure of noncompactness (M.N.C). Then we define and present a new class of generalized F-contractions, to upgrade some results of Falest and Latrach (Bull Bell Math Soc Simon Stevin 22:797–812, 2015). Furthermore, we investigate the solvability of a new system of Volterra integral equations in a Banach Algebra. Finally, the usefulness of the theoretical results is shown by an example.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-021-01552-0