Some variants of contraction principle in the case of operators with Volterra property: step by step contraction principle

Some variants of contraction principle in the case of operators with Volterra property: step by step contraction principle

Following the idea of T.A. Burton, of progressive contractions, presented in some examples (T.A. Burton, A note on existence and uniqueness for integral equations with sum of two operators: progressive contractions, Fixed Point Theory, 20 (2019), No. 1, 107-113) and the forward step method (I.A. R...

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Bibliographic Details
Main Author: Ioan A. Rus
Format: Article
Language:English
Published: ATNAA 2019-08-01
Series:Advances in the Theory of Nonlinear Analysis and its Applications
Subjects:
space of continuous function
operator with volterra property
max-norm
bielecki norm
contraction
g-contraction
fiber contraction
progressive contraction
step by step contraction
fixed point
picard operator
weakly picard operator
differential equation
integral equation
conjecture.
Online Access:https://dergipark.org.tr/en/download/article-file/788789

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