*Correspondence: [email protected] 2Department of Mathematics and Applied Mathematics, University of Pretoria, Lynwood Road, Pretoria, 002, South Africa Full list of author information is available at the end of the article Abstract In this paper, employing a new concept of generalized compatibility of a pair of mappings defined on a product space, certain coupled coincidence point results...

Let $(X,d)$ be a complete metric space, $(Y,\rho)$ space and $f,g:X\to Y$ two mappings. The problem is to give conditions which imply that, $C(f,g):=\{x\in X\ |\ f(x)=g(x)\}\not=\emptyset$. In this paper we an abstract coincidence point result with respect some results such as of Peetre-Rus (I.A. Rus, \emph{Teoria punctului fix \^in analiza func\c tional\u a}, Babe\c s-Bolyai Univ., Cluj-Napoca...

We prove some general random coincidence point theorems. Our results unify and extend several known, as well as some new, random coincidence point and random fixed point theorems.

In this paper, we prove some …xed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions. Mathematics subject classi…cation: 47H10, 54H25. Key words and phrases: Coincidence point, common …xed point, compatible maps, weak commutativity of type (KB) :