in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.

recently, choudhury and metiya [fixed points of weak contractions in cone metric spaces, nonlinear analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. weak contractions are generalizations of the banach's contraction mapping, which have been studied by several authors. in this paper, we introduce the notion of $f$-weak contractions and als...

In this contribution, we address exploratory search where a user is faced with an information need concerning a domain he lacks specific knowledge. Based on the work of Delbru et al., which introduced metrics to measure the navigational quality of automatically selected facets for RDF data, we apply those findings to the semantically richer TMDM and show how exploratory search functionality can...

Preface In this thesis we provide an introduction to fixed point theory for set-valued maps. It is not our goal in the present work to give an outline of the status quo of fixed point theory with all its newest achievements, but rather to give a thorough overview of the basic results in this discipline. It then should be possible for the reader to better and easier understand the newest develop...

The focus of this article, reviewed a generalized contraction mapping and nonexpansive maps recall some theorems about the existence uniqueness common fixed point coincidence fixed-point for such under conditions. Moreover, schemes different types as one-step ,two-step three step (Mann scheme algorithm, Ishukawa noor .scheme algorithm Modified arahan others. convergence these has been studied ....

In the present study we tested the hypothesis that phosphorylation of the 20,000-dalton light chain subunit of smooth muscle myosin (LC20) by the calcium-activated and phospholipid-dependent protein kinase C regulates contraction of chemically-permeabilized (glycerinated) porcine carotid artery smooth muscle. Purified protein kinase C and oleic acid were used to phosphorylate LC20 in glycerinat...

In this article, we are interested in a new generic class of nonlocal fractional impulsive differential inclusions with linear sectorial operator and Lipschitz multivalued function the setting finite dimensional Banach spaces. By modifying definition PC-mild solutions initiated by Shu, succeeded to determine conditions that sufficiently guarantee existence solutions. The results obtained combin...

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...

We present a topological method for the detection of normally hyperbolic type invariant sets for maps. The invariant set covers the submanifold without a boundary in Rk. For the method to hold we only need to assume that the movement of the system transversal to the manifold has directions of topological expansion and contraction. The movement in the direction of the manifold can be arbitrary. ...

Branciari [1] obtained a fixed point result for a single mapping satisfying an analogue of Banach’s contraction principle for an integral-type inequality. The second author [3] proved two fixed point theorems involving more general contractive conditions. In this paper, we establish a general principle, which makes it possible to prove many fixed point theorems for a pair of maps of integral ty...