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A generalization of Istratescu's fixed point theorem for convex contractions
Radu Miculescu, Alexandru Mihail
In this paper we prove a generalization of Istrăţescu's theorem for convex contractions. More precisely, we introduce the concept of iterated function system consisting of convex c…
A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions
Radu Miculescu, Alexandru Mihail
In this paper we obtain a generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions in the framework of b-metric spaces.…
Caristi-Kirk type and Boyd&Wong-Browder-Matkowski-Rus type fixed point results in b-metric spaces
Radu Miculescu, Alexandru Mihail
In this paper, based on a lemma giving a sufficient condition for a sequence with elements from a b-metric space to be Cauchy, we obtain Caristi-Kirk type and Boyd&Wong-Browder-Mat…
New fixed point theorems for set-valued contractions in b-metric spaces
Radu Miculescu, Alexandru Mihail
In this paper we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle fo…