Next Article in Journal
Limited Non-Preemptive EDF Scheduling for a Real-Time System with Symmetry Multiprocessors
Previous Article in Journal
Lie Symmetry Analysis, Explicit Solutions and Conservation Laws of a Spatially Two-Dimensional Burgers–Huxley Equation
Previous Article in Special Issue
A Modified Equation for Thickness of the Film Fabricated by Spin Coating
Open AccessArticle

w-b-Cone Distance and Its Related Results: A Survey

1
Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran 512, Iran
2
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940 Leioa (Bizkaia), Spain
*
Authors to whom correspondence should be addressed.
Symmetry 2020, 12(1), 171; https://doi.org/10.3390/sym12010171
Received: 6 December 2019 / Revised: 11 January 2020 / Accepted: 13 January 2020 / Published: 16 January 2020
(This article belongs to the Special Issue Nonlinear, Convex, Nonsmooth, Functional Analysis in Symmetry)
In this work, we define the concept of a w-b-cone distance in t v s -cone b-metric spaces which differs from generalized c-distance in cone b-metric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized c-distance can be introduced in the version of w-b-cone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a w t -distance in general b-metric spaces and a w-b-cone distance in t v s -cone b-metric spaces. View Full-Text
Keywords: w-b-cone distance; tvs-cone b-metric space; lower b-semicontinuous; Minkowski functional w-b-cone distance; tvs-cone b-metric space; lower b-semicontinuous; Minkowski functional
MDPI and ACS Style

Babaei, R.; Rahimi, H.; De la Sen, M.; Rad, G.S. w-b-Cone Distance and Its Related Results: A Survey. Symmetry 2020, 12, 171.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop