In this paper, we have established coupled coincidence point results for pair of mappings in partially ordered G-metric spaces. We have defined w-compatibility in this context to ensure the uniqueness of the coupled common fixed point. There are several corollaries which extend some known results of coupled coincidence points and coupled fixed points. The main theorem is illustrated with an exa...

Coupled coincidence and fixed point problems have been in the focus of the research interest for last few years. The problem was introduced in fuzzy metric spaces only recently in 2011. In this paper we work out a coupled coincidence point theorem for a compatible pair of mappings in fuzzy metric spaces. The space endowed with a partial ordering. We use a combination of analytic and order theor...

This paper centers around two basic problems of topological coincidence theory. First, try to measure (with help of Nielsen and minimum numbers) how far a given pair of maps is from being loose, i.e. from being homotopic to a pair of coincidence free maps. Secondly, describe the set of loose pairs of homotopy classes. We give a brief (and necessarily very incomplete) survey of some old and new ...

Let G = (V,E) be a graph and u, v ∈ V be two distinct vertices. We give a necessary and sufficient condition for the existence of an infinitesimally rigid two-dimensional bar-and-joint framework (G, p), in which the positions of u and v coincide. We also determine the rank function of the corresponding modified generic rigidity matroid on ground-set E. The results lead to efficient algorithms f...

The best approximation problem in a hyperconvex metric space consists of finding conditions for given set-valued mappings F andG and a setX such that there is a point x0 ∈ X satisfying d G x0 , F x0 ≤ d x, F x0 for x ∈ X. When G I, the identity mapping, and when the set X is compact, best approximation theorems for mappings in hyperconvex metric spaces are given for the single-valued case in 1–...

* Correspondence: awawdeh@hu. edu.jo Department of Mathematics, Hashemite University, Zarqa 13115, Jordan Abstract In this article, we establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of cone metric spaces. Our results extend some known results in metric spaces to cone metric spaces. Also, we introduce some examples the support the val...

* Correspondence: [email protected]; [email protected] Full list of author information is available at the end of the article Abstract Recently, Gordji et al. [Math. Comput. Model. 54, 1897-1906 (2011)] prove the coupled coincidence point theorems for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces. The aim of this article is to extend and ...

In this article, we investigate the existence of positive solutions for second-order m-point boundary-value problems at resonance on the half-line (q(t)x′(t))′ = f(t, x(t), x′(t)), a.e. in (0,∞), x(0) = m−2 X i=1 αix(ξi), lim t→∞ q(t)x′(t) = 0. Some existence results are obtained by using the Mawhin’s coincidence theory.

We introduce the concept of mixed (G,S)-monotone mappings and prove coupled coincidence point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions. Presented theorems extend, improve and generalize the recent results of Harjani, López and Sadarangani [J. Harjani, B. López and K. Sadarangani, Fixed point theorems for mixed monotone operators and app...

The study of random fixed point theory was initiated by the Prague school of probabilists in the 1950s [12, 13, 26]. Random fixed point theorems are stochastic generalization of classical fixed point theorems. The survey article by Bharucha-Reid [10] attracted the attention of several mathematicians and gave wings to this theory. Itoh [16] extended Spacek’s and Hans’s theorem to multivalued con...