Über diesen Artikel
Online veröffentlicht: 30. Dez. 2016
Seitenbereich: 131 - 147
Eingereicht: 29. Sept. 2016
Akzeptiert: 30. Nov. 2016
DOI: https://doi.org/10.1515/awutm-2016-0019
Schlüsselwörter
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
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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.