Abstract
The aim of this paper is to emphasize the role of the fibre contraction principle in the study of the solution of integral equations with maxima in connection with the weakly Picard operator technique. The results complement and extend some known results given in the paper: I.A. Rus, Some variants of contraction principle in the case of operators with Volterra property: step by step contraction principle, Advances in the Theory of Nonlinear Analysis and its Applications, 3(2019), no. 3, 111-120. The last section is devoted to Gronwall lemma type results and comparison theorems.
Authors
Keywords
comparison lemma; existence and uniqueness; fibre contraction principle; fixed point; Gronwall lemma; Integral equation with maxima; weakly Picard operator
Paper coordinates
V. Ilea, D. Otrocol, Integral equation with maxima via fibre contraction principle, Journal Fixed Point Theory, 25 (2024) 2, pp. 601-610, http://doi.org/10.24193/fpt-ro.2024.2.10
About this paper
Journal
Fixed Point Theory
Publisher Name
House of the Book of Science Cluj-Napoca
Print ISSN
1583-5022
Online ISSN
2066-9208
google scholar link
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