The main aim of this paper is to introduce and study some fixed point results for rational multivalued G-contraction F-Khan-type contraction mappings on a metric space with graph. At the end, we give an illustrative example.

The well-known Banach’s fixed point theorem asserts that ifD X, f is contractive and X, d is complete, then f has a unique fixed point inX. It is well known that the Banach contraction principle 1 is a very useful and classical tool in nonlinear analysis. In 1969, Boyd and Wong 2 introduced the notion ofΦ-contraction. A mapping f : X → X on a metric space is called Φ-contraction if there exists...

For a family of graphs G, the G-Contraction problem takes as an input graph G and integer k, goal is to decide if there exists subset F⊆E(G) size at most k such that G/F in G. Here, obtained from by contracting all edges F. In this article, we initiate study Grid Contraction parameterized complexity point view. We present fixed parameter tractable algorithm, running time 2O(k)⋅|V(G)|O(1), for p...

In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive resul...

In this paper, we provide some generalizations of the Darbo's fixed point theorem and further develop notion $F$-contraction introduced by Wardowski in (\cite{wad}, D. Wardowski, \emph{Fixed points a new type contractive mappings complete metric spaces,} Fixed Point Theory Appl., 94, (2012)). To achieve this, introduce Darbo-type $F$-contraction, cyclic $(\alpha,\beta)$-admissible operator also...

The main purpose of this paper is to improve, generalize, unify, extend and enrich the recent results established by Dung Hang (2015), Piri Kumam (2014, 2016), Singh et al. (2018). In our proofs, we only use property (F1) Wardowski’s F-contraction, while many authors in their papers still all tree properties F-contraction as well two new introduced Kumam. Our approach indicates that for most wi...

In this paper, we introduce the notions of ordered F -(F, h)-contraction and subcontraction in the setting of partial metric spaces. Some fixed point theorems for ordered F -(F, h)-contraction and subcontraction in 0-f -orbitally complete partial metric spaces are proved. Our results generalize some recent results of metric and partial metric spaces into the 0-f -orbitally complete partial metr...

Objective- Our point is to determine if the treatment of the 3rd degree burn wounds makes any difference if sprayed cultured autologous keratinocyte used alone or in combination with Fibrin glue. Design- Animal experimental study. Animals- 30 male Wistar rats. Procedures- Thirty male Wistar rats were selected and their keratinocytes were isolated and cultured from small skin biops...

[Purpose] We often perform physical therapy using motor imagery of muscle contraction to improve motor function for healthy subjects and central nerve disorders. This study aimed to determine the differences in the excitability of spinal motor neurons during motor imagery of a muscle contraction at different contraction strengths. [Subjects] We recorded the F-wave in 15 healthy subjects. [Metho...