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Publicado en línea: 30 dic 2016
Páginas: 131 - 147
Recibido: 29 sept 2016
Aceptado: 30 nov 2016
DOI: https://doi.org/10.1515/awutm-2016-0019
Palabras clave
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.
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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.