In this note we study extra large spherical conemanifolds in dimension 2 (though many of our resultsz and techniques extend to higher dimensions. A 2-dimensional spherical cone manifold is a metric space where all but finitely many points has a neighborhood isometric to a neighborhood of a point on the round sphere S. The exceptional points (cone points) have neighboroods isometric to a spheric...

the sequential $p$-convergence in a fuzzy metric space, in the sense of george and veeramani, was introduced by d. mihet as a weaker concept than convergence. here we introduce a stronger concept called $s$-convergence, and we characterize those fuzzy metric spaces in which convergent sequences are $s$-convergent. in such a case $m$ is called an $s$-fuzzy metric. if $(n_m,ast)$ is a fuzzy metri...

In this paper, we prove a general fixed point theorem in $textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $textrm{S}$-metric spaces.

In this paper, an idea of generalized fuzzy c-distance in fuzzy cone metric space is introduced. A common fixed point theorem is established for a pair of self mappings in fuzzy cone metric spaces by using the concept of generalized fuzzy c-distance. 2010 AMS Classification: : 54A40, 03E72

The notion of triple fixed point was introduced by V.Berinde and M.Borcut [8] and obtained some fixed point theorems in partially ordeded metric spaces. In this paper, we obtain a unique common triple fixed point theorem in partially ordered cone metric spaces in which cone is not necessarilly normal and also mention one supported example.

In this work, we define a weaker Meir–Keeler type function ψ : int P ∪ {0} → int P ∪ {0} in a cone metric space, and under this weaker Meir–Keeler type function, we show the common fixed point theorems of four single-valued functions in cone metric spaces. © 2010 Elsevier Ltd. All rights reserved.

The main contribution in this paper is to introduce an idea of fuzzy cdistance in fuzzy cone metric space. A common fixed point theorem for contraction mapping is established in fuzzy cone metric space by using fuzzy c-distance. Lastly the theorem is justified by a suitable example.

Recommended by Lech G ´ orniewicz We prove a result on points of coincidence and common fixed points for three self-mappings satisfying generalized contractive type conditions in cone metric spaces. We deduce some results on common fixed points for two self-mappings satisfying contractive type conditions in cone metric spaces. These results generalize some well-known recent results.

A lot of authors have proved various common fixed-point results for pairs of self-mappings under strict contractive conditions in metric spaces. In the case of cone metric spaces, fixed point results are usually proved under assumption that the cone is normal. In the present paper we prove common fixed point results under strict contractive conditions in cone metric spaces using only the assump...

The present paper considers two infinite families of cone-manifolds endowed with spherical metric. The singular strata is either the torus knot t(2n + 1, 2) or the torus link t(2n, 2). Domains of existence for a spherical metric are found in terms of cone angles and volume formulæ are presented.