Results 41 to 50 of about 102,344 (170)

Metric-affine bumblebee gravity: classical aspects

European Physical Journal C: Particles and Fields, 2021
We consider the metric-affine formulation of bumblebee gravity, derive the field equations, and show that the connection can be written as Levi-Civita of a disformally related metric in which the bumblebee field determines the disformal part.
Adrià Delhom, J. R. Nascimento, Gonzalo J. Olmo, A. Yu. Petrov, Paulo J. Porfírio   +4 more
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Fixed point theorems in a new type of modular metric spaces

Fixed Point Theory and Applications, 2018
In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
doaj   +1 more source

Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space [PDF]

Sahand Communications in Mathematical Analysis, 2019
The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space.
Madjid Eshaghi Gordji, Hasti Habibi
doaj   +1 more source

A Theory for Interpolation of Metric Spaces

Axioms
In this work, we develop an interpolation theory for metric spaces inspired by the real method of interpolation. These interpolation spaces preserve Lipschitz operators under certain conditions.
Robledo Mak’s Miranda Sette, Dicesar Lass Fernandez, Eduardo Brandani da Silva   +2 more
doaj   +1 more source

Discrete homology theory for metric spaces [PDF]

Bulletin of the London Mathematical Society, 2014
In this paper we define and study a notion of discrete homology theory for metric spaces. Instead of working with simplicial homology, our chain complexes are given by Lipschitz maps from an $n$-dimensional cube to a fixed metric space. We prove that the resulting homology theory verifies a discrete analogue of the Eilenberg-Steenrod axioms, and prove ...
Barcelo H, Capraro V, White JA
openaire   +2 more sources

Generalizations of Hyperconvex Metric Spaces

Results in Nonlinear Analysis, 2019
Since Khamsi found a KKM theorem for hyperconvex metric spaces in 1996, there have appeared a large number of works on them related to the KKM theory.
Sehie Park
doaj  

Simulation functions on metric fixed point theory

Journal of Inequalities and Applications
This paper aims to generalize the primary result of Khojasteh et al. by introducing and expanding the concept of simulation functions and weak ζ-contractions under weaker conditions.
Hamid Mottaghi Golshan
doaj   +1 more source

Perturbed Graphical Metric Spaces and Fixed Point Theory [PDF]

Sahand Communications in Mathematical Analysis
Taking into account the recent view of fixed point theory as expressed by Jalali and Samet [On Banach's fixed point theorem in perturbed metric spaces, J. Appl. Anal. Comput.
Kamal Fallahi
doaj   +1 more source

Revisiting Probabilistic Metric Spaces

International Journal of Topology
The field of probabilistic metric spaces has an intrinsic interest based on a blend of ideas drawn from metric space theory and probability theory. The goal of the present paper is to introduce and study new ideas in this field.
Michael D. Rice
doaj   +1 more source

Double Controlled Partial Metric Type Spaces and Convergence Results

Journal of Mathematics, 2021
In this paper, we firstly propose the notion of double controlled partial metric type spaces, which is a generalization of controlled metric type spaces, partial metric spaces, and double controlled metric type spaces.
Haroon Ahmad, Mudasir Younis, Mehmet Emir Köksal   +2 more
doaj   +1 more source