O artykule
Data publikacji: 30 gru 2016
Zakres stron: 131 - 147
Otrzymano: 29 wrz 2016
Przyjęty: 30 lis 2016
DOI: https://doi.org/10.1515/awutm-2016-0019
Słowa kluczowe
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, Ostrowski property, data dependence, Ulam stability, iterative algorithm, functional differential equation, functional integral equation, open problem.
© Annals of West University of Timisoara - Mathematics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.