We develop a theory of double clubs which extends Kelly’s theory of clubs to the pseudo double categories of Paré and Grandis. We then show that the club for symmetric strict monoidal categories onCat extends to a ‘double club’ on the pseudo double category Cat of ‘categories, functors, profunctors and transformations’.

In this paper, we establish some common fixed point theorems for two pairs of occasionally weakly compatible single and set-valued maps satisfying a strict contractive condition in a metric space. Our results unify and extend many results existing in the literature including those of Aliouche [3], Bouhadjera [4] and Popa [18]-[23]. Also we establish another common fixed point theorem for four o...

* Correspondence: poom. [email protected] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangmod, Bangkok 10140, Thailand Abstract In this article, we define a tangential property which can be used not only for singlevalued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theor...

In this paper, we consider the model that the information on the rewards in vector-valued Markov decision processes includes imprecision or ambiguity. The fuzzy reward model is analyzed as follows: The fuzzy reward is represented by the fuzzy set on the multi-dimensional Euclidian space R and the infinite horizon fuzzy expected discounted reward(FEDR) from any stationary policy is characterized...

*Correspondence: [email protected] 1Department of Mathematics, Nanchang University, Nanchang, 330031, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a new concept of the common property (E.A) for two hybrid pairs of mappings is introduced in Menger PM-spaces. Utilizing this concept, some common fixed point theorems, which shed some new...

in this paper, a common fixed point theorem for $psi$-weakly commuting maps in l-fuzzy metric spaces is proved.

It is well known that contractive representations of the disk algebra are completely contractive. Let A denote the subalgebra of the disk algebra consisting of those functions f for which f ′(0) = 0. We prove that there are contractive representations of A which are not completely contractive, and furthermore characterize those contractive representations which are completely contractive.

A generalization of Halpern’s iteration is investigated on a compact convex subset of a smooth Banach space. The modified iteration process consists of a combination of a viscosity term, an external sequence, and a continuous nondecreasing function of a distance of points of an external sequence, which is not necessarily related to the solution of Halpern’s iteration, a contractive mapping, and...