In this paper we prove some fixed point theorems in fuzzy cone metric spaces under some fuzzy cone contractive type conditions. Our results generalize the “fuzzy cone Banach contraction theorem” given by [T. Öner, M. B. Kandemire, B. Tanay, J. Nonlinear Sci. Appl., 8 (2015), 610–616] recently. c ©2017 All rights reserved.

In this paper, we define a new cone ball-metric and get fixed points and common fixed points for the Meir-Keeler type functions in cone ball-metric spaces. Department of Applied Mathematics, National Hsinchu University, of Education, Taiwan. E-mail address: [email protected] E-mail address: [email protected] Date: Received: 2 November 2011; Accepted: 26 May 2012. ∗ Corresponding ...

It is well known that in compact local Lipschitz neighborhood retracts in Rn flat convergence for Euclidean integer rectifiable currents amounts just to weak convergence. The purpose of the present paper is to extend this result to integral currents in complete metric spaces admitting a local cone type inequality. This includes for example all Banach spaces and complete CAT(κ)-spaces, κ ∈ R. Th...

In this paper we obtain a unique common fixed point theorem for three pairs of weakly compatible mappings in D∗-cone metric spaces.

In this paper, some new fixed point theorems for generalized contractive type mappings in cone metric spaces are established. Mathematics Subject Classification: 47H10, 54H25

In this paper, we introduce cone metric spaces with w−distance on X. Then we prove fixed point theorems of weakly contractive, weakly Caristi. Mathematics Subject Classification: 37C25

‎in this paper‎, ‎we investigate some results on natural metrics on the $mu$-normal functions and meromorphic $q_p$-classes‎. ‎also‎, ‎these classes are shown to be complete metric spaces with respect to the corresponding metrics‎. ‎moreover‎, ‎compact composition operators $c_phi$ and lipschitz continuous operators acting from $mu$-normal functions to the meromorphic $q_p$-classes are characte...

We give a new notion of angle in general metric spaces; more precisely, given a triple a points p, x, q in a metric space (X, d), we introduce the notion of angle cone ∠pxq as being an interval ∠pxq := [∠pxq,∠ + pxq], where the quantities ∠ ± pxq are defined in terms of the distance functions from p and q via a duality construction of differentials and gradients holding for locally Lipschitz fu...

We introduce a model of the set of all Polish (=separable complete metric) spaces: the cone R of distance matrices, and consider geometric and probabilistic problems connected with this object. The notion of the universal distance matrix is defined and we proved that the set of such matrices is everywhere dense Gδ set in weak topology in the cone R. Universality of distance matrix is the necess...

We introduce the notions of the asymptotic SMK-sequence with respect to the stronger MeirKeeler cone-type mapping ξ : int P ∪ {θ} → 0, 1 and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping φ : int P ∪ {θ} → int P ∪ {θ} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone P . Our results general...