8,601 research outputs found
A new approach for KM-fuzzy partial metric spaces
summary:The main purpose of this paper is to give a new approach for partial metric spaces. We first provide the new concept of KM-fuzzy partial metric, as an extension of both the partial metric and KM-fuzzy metric. Then its relationship with the KM-fuzzy quasi-metric is established. In particularly, we construct a KM-fuzzy quasi-metric from a KM-fuzzy partial metric. Finally, after defining the notion of partial pseudo-metric systems, a one-to-one correspondence between partial pseudo-metric systems and KM-fuzzy partial pseudo-metrics is constructed. Furthermore, a fuzzifying topology on X deduced from KM-fuzzy partial metric is established and some properties of this fuzzifying topology are discussed
Tameness in generalized metric structures
We broaden the framework of metric abstract elementary classes (mAECs) in
several essential ways, chiefly by allowing the metric to take values in a
well-behaved quantale. As a proof of concept we show that the result of Boney
and Zambrano on (metric) tameness under a large cardinal assumption holds in
this more general context. We briefly consider a further generalization to
partial metric spaces, and hint at connections to classes of fuzzy structures,
and structures on sheaves
Noncommutative Geometries and Gravity
We briefly review ideas about ``noncommutativity of space-time'' and
approaches toward a corresponding theory of gravity.Comment: 18 pages, to appear in the Proceedings of the Third Mexican Meeting
on Mathematical and Experimental Physics, Symposium on Gravitation and
Cosmology, Mexico City, 10-14 September 200
A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
We survey some representative results on fuzzy fractional differential
equations, controllability, approximate controllability, optimal control, and
optimal feedback control for several different kinds of fractional evolution
equations. Optimality and relaxation of multiple control problems, described by
nonlinear fractional differential equations with nonlocal control conditions in
Banach spaces, are considered.Comment: This is a preprint of a paper whose final and definite form is with
'Journal of Computational and Applied Mathematics', ISSN: 0377-0427.
Submitted 17-July-2017; Revised 18-Sept-2017; Accepted for publication
20-Sept-2017. arXiv admin note: text overlap with arXiv:1504.0515
Berezin-Toeplitz quantization for compact Kaehler manifolds. A Review of Results
This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz
deformation quantization for compact quantizable Kaehler manifolds. The basic
objects, concepts, and results are given. This concerns the correct
semi-classical limit behaviour of the operator quantization, the unique
Berezin-Toeplitz deformation quantization (star product), covariant and
contravariant Berezin symbols, and Berezin transform. Other related objects and
constructions are also discussed.Comment: 32 page
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