INTEGRAL EQUATION WITH MAXIMA VIA FIBRE CONTRACTION PRINCIPLE

被引：0
|
作者：
Ilea, Veronica [1 ]
Otrocol, Diana [2 ,3 ]
机构：
[1] Babes Bolyai Univ, Fac Math & Comp Sci, 1 M Kogalniceanu St, RO-400084 Cluj Napoca, Romania
[2] Tech Univ Cluj Napoca, 28 Memorandumului St, Cluj Napoca 400114, Romania
[3] Romanian Acad, Tiberiu Popoviciu Inst Numer Anal, POB 68-1, Cluj Napoca 400110, Romania
来源：
FIXED POINT THEORY | 2024年 / 25卷 / 02期
关键词：
Integral equation with maxima; existence and uniqueness; fixed point; weakly Picard operator; fibre contraction principle; Gronwall lemma; comparison lemma; FUNCTIONAL-DIFFERENTIAL EQUATIONS; STEP METHOD;
D O I：
10.24193/fpt-ro.2024.2.10
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：601 / 610
页数：10
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