The aim of the present paper is to extend classical fractal theory using condensing maps and generalized contractions semimetric spaces. Our method independent from approach Hutchinson: It based on Kuratowski measure noncompactness avoids completely Blaschke Completeness Theorem.

Abstract The purpose of this article is to present, under weaker assumptions, some local fixed point theorems for Ćirić–Reich–Rus, Chatterjea and Berinde type generalized contractions. Then, as applications we will obtain open mapping continuation principles these classes mappings.

In this paper, we prove the existence of a common random fixed point of two random multivalued generalized contractions by using functional expressions.

In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide examples. also prove data dependence sets. Moreover, present strict set, well-posedness homotopy results.

Through this article, we establish an invariant point theorem by defining generalized Zs-contractions in relation to the simulation function S-metric space. In results of Nihal Tas, Yilmaz Ozgur and N.Mlaiki. addition that, bestow example which supports our results.

In this paper, we introduce new notions of generalized F-contractions type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

The onset of voluntary muscle contractions causes rapid increases in ventilation and is accompanied by a sensation of effort. Both the ventilatory response and perception of effort are proportional to contraction intensity, but these behaviors have been generalized from contractions of a single muscle group. Our aim was to determine how these relationships are affected by simultaneous contracti...

Generalized gut transit abnormalities are observed in some diabetics with gastroparesis. Relations of gastric emptying abnormalities to colon contractile dysfunction are poorly characterized. We measured colon transit and contractility using wireless motility capsules (WMC) in 41 healthy subjects, 12 diabetics with gastroparesis (defined by gastric retention >5 hours), and 8 diabetics with norm...

We introduce the notion of a generalized iterated function system GIFS , which is a finite family of functions fk : X →X, where X, d is a metric space and m ∈ N. In case that X, d is a compact metric space and the functions fk are contractions, using some fixed point theorems for contractions from X to X, we prove the existence of the attractor of such a GIFS and its continuous dependence in th...