A dynamic system, which is used in the neural network theory, Ising spin glasses and factor analysis, has been investigated. The properties of the connection matrix, which guarantee the coincidence of the set of the fixed points of the dynamic system with the set of local minima of the energy functional, have been determined. The influence of the connection matrix diagonal elements on the struc...

*Correspondence: [email protected] Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan Abstract In this paper, we first establish some new existence theorems of coincidence points and common fixed points forMT -functions. By applying our results, we obtain some generalizations of Mizoguchi-Takahashi’s fixed point theorem, Nadler’s fixed point theorem a...

In this paper our propose is to find a common term which is included in the assumptions of theorems proving existence of zeros, implicit functions, fixed points or coincidence points. This new point of view allows us to weaken the assumptions which guarantee the solvability of nonlinear equations and to recommend a possible unified treatment of several classes of operators which appear in the t...

The following case presents so many points of clinical interest, and the preparations of the uterus demonstrate so beautifully in an almost unique way some pathological points, that I venture to think it is not unworthy of your consideration this evening. All the more so that by a strange coincidence another paper follows mine dealing with another uterus containing a hydatidiform mole, in this ...

Techniques of aligning linear accelerators are discussed with specific reference to the alignment system of the two-mile accelerator. This system uses a "three-point" method by which a point which is to be aligned is brought into coincidence with the line as defined by its end points. The end _ points;ye a laser and a photo-el-ctril debecior. A rectangular Fresnel lens is 1oc;ted at each pc'nt ...

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The ex...

We define a relative coincidence Nielsen number Nrel(f, g) for pairs of maps between manifolds, prove a Wecken type theorem for this invariant and give some formulae expressing Nrel(f, g) by the ordinary Nielsen numbers. Introduction. In [S2] pairs of spaces A ⊂ X and maps f : X → X such that f(A) ⊂ A were considered. A relative Nielsen number of such maps was defined, i.e. a lower bound of the...

In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.

In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal and Berinde-type weak obtain common best proximity points for these in setting F−metric spaces. Further, point result α−φ−proximal As an application, fixed coincidence results obtained. Some examples provided to support validity our main results....

The aim of this paper is to present some coincidence point results for four mappings satisfying generalized ðw;uÞ-weakly contractive condition in the framework of ordered b-metric spaces. An example and an application are also provided to support our results. 2013 Elsevier Inc. All rights reserved.