The aim of this paper is to establish a unique common fixed point theorem for six self maps satisfying a generalized contractive condition in a cone metric space. The intent of this paper is to introduce the concept of compatibility of pair of self maps in a cone metric space without assuming its normality. Our results generalize, extend and unify several well-known comparable results in the li...

We study the spherical cone metrics on surfaces from the point of view of inner angles. A rigidity result is obtained. The existence of spherical cone metric of Delaunay type is also established.

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.

Our aim was to make a quantitative comparison of the response of the different visual cortical areas to selective stimulation of the two different cone-opponent pathways [long- and medium-wavelength (L/M)- and short-wavelength (S)-cone-opponent] and the achromatic pathway under equivalent conditions. The appropriate stimulus-contrast metric for the comparison of colour and achromatic sensitivit...

Seiberg–Witten theory is used to obtain new obstructions to the existence of Einstein metrics on 4-manifolds with conical singularities along an embedded surface. In the present article, the cone angle is required to be of the form 2π/p, p a positive integer, but we conjecture that similar results will also hold in greater generality. Recent work on Kähler–Einstein metrics by Chen, Donaldson, S...

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...

Abstract The convergence of sequences and non-unique fixed points are established in ℳ-orbitally complete cone metric spaces over the strongly minihedral cone, scalar weighted assuming to be minihedral. Appropriate examples applications validate theory. Further, we provide one more answer question existence contractive condition Cone so that point is at discontinuity a map. Also, negative natur...