Overlap coincidence is an equivalent criterion to pure discrete spectrum of the dynamics of self-affine tilings in R. In the case of d = 1, strong coincidence on m-letter irreducible substitution has been introduced in [10, 8] which implies that the system is metrically conjugate to a domain exchange in Rm−1. However being a domain exchange does not imply the property of pure discrete spectrum ...

We establish coincidence point theorems for two mappings satisfying some contractive conditions in an ordered cone complete metric space, where the cone is not necessarily normal. Also, two examples are given to illustrate the usability of our results. © 2011 Elsevier Ltd. All rights reserved.

In this article we studied Nielsen coincidence theory for maps between manifolds of same dimension without hypotheses on orientation. We use the definition of semi-index of a class, we review the definition of defective classes and study the appearance of defective root classes. We proof a semi-index product formula type for lifting maps and we presented conditions such that defective coinciden...

In this paper, coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence...

A Lefschetz-type coincidence theorem for two maps f, g : X → Y from an arbitrary topological space to a manifold is given: Ifg = λfg , that is, the coincidence index is equal to the Lefschetz number. It follows that if λfg 6= 0 then there is an x ∈ X such that f(x) = g(x). In particular, the theorem contains well-known coincidence results for (i) X,Y manifolds, f boundary-preserving, and (ii) Y...

Some fixed and coincidence point theorems for R-weakly commuting mappings are obtained. Our results generalize some recent results of Daffer and Kaneko [2] and many of the others. AMS Mathematics Subject Classification (2000): 54H25

Abstract: In this paper, we establish a new coupled coincidence point results in partially ordered probabilistic metric spaces by utilizing the Gauge function. We use the compatibility condition between two mappings. We use monotone and mixed monotone properties of functions with respect to the ordering. Our main result has several corollaries. The main result is supported with an example which...