In this article, we introduce a new multi-step iteration for approximating a common fixed point of a finite class of multi-valued Bregman relatively nonexpansive mappings in the setting of reflexive Banach spaces. We prove a strong convergence theorem for the proposed iterative algorithm under certain hypotheses. Additionally, we also use our results for the solution of variational inequality p...

in this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. presented theoremsextend and improve the main results of abbas and$acute{c}$iri$acute{c}$ {itshape et al.} [m. abbas, l.$acute{c}$iri$acute{c}$, {itshape et al.}, coupled coincidenceand common fixed point theorems for hybr...

We introduce the concepts of interval-valued fuzzy mα-open sets and interval-valued fuzzy mα-continuous mappings. And we study some characterizations and properties of such concepts.

This note concerns subsets A of the unit 2-sphere 5 such that (*) for each continuous real-valued mapping/ of 5 there exists a rotation r of S with all points of r(A) having the same value under/. In 1942, Kakutani [3 ] proved that the set A of end points of an orthonormal set of 3 vectors has property (*). It was observed by de Mira Fernandes [5 ] that the same proof holds in case A is the set...