Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, ?iri?-quasi contraction and weak in the framework a metric space. We prove fixed point theorems for such type over complete spaces with help ? -diminishing property. Some examples are given strengthening hypothesis our established theorems.

In this paper, as a geometric approach to the fixed-point theory, we prove new fixed-figure results using notion of k-ellipse on metric space. For purpose, are inspired by Caristi type mapping, Kannan contraction, Chatterjea contraction and Ćirić contraction. After that, give some existence uniqueness theorems fixed k-ellipse. We also support our obtained with illustrative examples. Finally, pr...

Abstract We introduce a large class of contractive mappings, called Suzuki–Berinde type contraction. show that any contraction has fixed point and characterizes the completeness underlying normed space. A theorem for multivalued mappings is also obtained. These results unify, generalize complement various known comparable in literature.

We report CCD observations of the dwarf nova V485 Cen during its 1997 su-peroutburst. The long lasting outburst with characteristic slope, brightness dip and presence of clear superhumps give evidence that V485 Cen belongs to the group of SU UMa-type variables. The superhump period is equal to 0. d 042156 ± 0. d 000004 (60. m 7). Thus, V485 Cen has the shortest known period among SU UMa-type st...

Previous work has shown that endogenous chemical mediators, of which histamine is the prototype, increase the permeability of blood vessels by causing gaps to appear between endothelial cells. In the present paper, morphologic and statistical evidence is presented, to suggest that endothelial cells contract under the influence of mediators, and that this contraction causes the formation of inte...

We generalize the M-theoretic duality of Schmaltz and Sundrum to the product group SU(N)×SU(N ) case. We show that the type IIA brane configurations for dual gauge theories are in fact two special limits of the same M-theory 5-brane, just as in the case of the simple SU(N) group. : [email protected] : [email protected]

The purpose of this paper is to introduce a new type contraction called fuzzy F-contraction. As compared the F-contraction in existing literature, our much simpler and more straightforward, since it contains only one condition—that is, function F strictly increasing. Moreover, some fixed-point theorems for are presented. Further, examples given illustrate its validity superiority. In addition, ...

We discuss the following viscosity approximations with the weak contraction A for a nonexpansive mapping sequence {Tn}, yn αnAyn 1 − αn Tnyn, xn 1 αnAxn 1 − αn Tnxn. We prove that Browder’s and Halpern’s type convergence theorems imply Moudafi’s viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern’s type iteration and Mouda’s viscosity ap...