In this paper we introduce the notion of asymptotic contraction of integral Meir-Keeler type on a metric space and we prove a theorem which ensures existence and uniqueness of fixed points for such contractions. This result generalizes some recent results in the literature.
Canzoneri, E., Vetro, P. (2012). Fixed points for asymptotic contractions of integral Meir-Keeler type. THE JOURNAL OF NONLINEAR SCIENCES AND ITS APPLICATIONS, 5(2), 126-132.
Fixed points for asymptotic contractions of integral Meir-Keeler type
VETRO, Pasquale
2012-01-01
Abstract
In this paper we introduce the notion of asymptotic contraction of integral Meir-Keeler type on a metric space and we prove a theorem which ensures existence and uniqueness of fixed points for such contractions. This result generalizes some recent results in the literature.
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