Relevant Classes of Weakly Picard Operators

Ioan A. Rus

doi:10.1515/awutm-2016-0019

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Relevant Classes of Weakly Picard Operators

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 54 (2016): Issue 2 (December 2016)

By: Ioan A. Rus

Open Access

|Dec 2016

Abstract

In this paper we consider the following problems:

(1) Which weakly Picard operators satisfy a retraction- displacement condition? (2) For which weakly Picard operators the fixed point problem is well posed? (3) Which weakly Picard operators have Ostrowski property?

Some applications and open problems are also presented.

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Articles in this issue

DOI: https://doi.org/10.1515/awutm-2016-0019 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293

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Language: English

Page range: 131 - 147

Submitted on: Sep 29, 2016

Accepted on: Nov 30, 2016

Published on: Dec 30, 2016

Published by: West University of Timisoara

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

metric space,

generalized metric space,

graphic con- traction,

Berinde operator,

Caristi operator,

quasicontraction,

weakly Picard operator,

retraction-displacement condition,

well posedness of the fixed point problem,

functional differential equation,

functional integral equation,

open problem.

Related subjects:

Mathematics,

General mathematics

© 2016 Ioan A. Rus, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 54 (2016): Issue 2 (December 2016)