2017
DOI: 10.2298/fil1711391b
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Saturated contraction principles for non self operators, generalizations and applications

Abstract: Let (X, d) be a metric space, Y ⊂ X a nonempty closed subset of X and let f : Y → X be a non self operator. In this paper we study the following problem: under which conditions on f we have all of the following assertions: 1. The operator f has a unique fixed point; 2. The operator f satisfies a retraction-displacement condition; 3. The fixed point problem for f is well posed; 4. The operator f has the Ostrowski property. Some applications and open problems related to these questions are also presented.

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Cited by 5 publications
(1 citation statement)
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“…In a similar way as above, we can extend to dislocated metric spaces the saturated fixed point results given in [30], [27], [23], [32] and [5].…”
Section: From a Dislocated Metric Space To A Metric Spacementioning
confidence: 92%
“…In a similar way as above, we can extend to dislocated metric spaces the saturated fixed point results given in [30], [27], [23], [32] and [5].…”
Section: From a Dislocated Metric Space To A Metric Spacementioning
confidence: 92%