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Relevant Classes of Weakly Picard Operators Cover

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.

DOI: https://doi.org/10.1515/awutm-2016-0019 | Journal eISSN: 1841-3307 | Journal ISSN: 1841-3293
Language: English
Page range: 131 - 147
Submitted on: Sep 29, 2016
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Accepted on: Nov 30, 2016
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Published on: Dec 30, 2016
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

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