Open AccessAn existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem
Author(s) -
Surabhi Singh,
AUTHOR_ID,
Sandeep Kumar,
Mohamed M. A. Metwali,
Saud Fahad Aldosary,
Kottakkaran Sooppy Nisar,
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AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
ISSN - 2473-6988
DOI - 10.3934/math.2022309
Subject(s) - fixed point theorem , mathematics , picard–lindelöf theorem , nonlinear system , volterra integral equation , integral equation , brouwer fixed point theorem , fixed point , pure mathematics , mathematical analysis , discrete mathematics , physics , quantum mechanics
Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the existence of solutions for functional integral equations, which involves as specific cases many functional integral equations that appear in different branches of non-linear analysis and their applications. Finally, we recall some particular cases and examples to validate the applicability of our study.