Results 61 to 70 of about 601 (176)
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source
Zagadnienia Filozoficzne w Nauce, 2012 The mathematical and cosmological works of a group associated with the Copernicus Center for Interdisciplinary Studies in Cracow are summarized. The group consists mainly of M. Heller, L. Pysiak, W. Sasin, Z. Odrzygóźdź and J. Gruszczak.
Michał Heller
doaj
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper develops the theory of function‐weighted probabilistic metric spaces (FWPMSs) and establishes the existence of common fixed points (CFPs) for commutative mappings within this framework. A key lemma is also introduced to bridge the connection between CFPs and common n‐tuples fixed points.
Ehsan Lotfali Ghasab +3 more
wiley +1 more source
Topological K‐theory of quasi‐BPS categories for Higgs bundles
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract In a previous paper, we introduced quasi‐BPS categories for moduli stacks of semistable Higgs bundles. Under a certain condition on the rank, Euler characteristic, and weight, the quasi‐BPS categories (called BPS in this case) are noncommutative analogues of Hitchin integrable systems.
Tudor Pădurariu, Yukinobu Toda
wiley +1 more source
Symbols in Noncommutative Geometry
, 2023 In this paper we prove that the classical Lie bracket of vector fields can be generalized to the noncommutative setting by antisymmetrizing (in a suitable noncommutative sense) their compositions.
Mantegazza, Mauro +2 more
core
Noncommutative geometry and D-branes [PDF]
, 1997 manuscriptWe apply noncommutative geometry to a system of N parallel D-branes, which is interpreted as a quantum space. The Dirac operator defining the quantum differential calculus is identified to be the zero-momentum mode of the supercharge for ...
Ho, Pei-Ming +3 more
core +1 more source
Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source
The non-commutative standard model [PDF]
, 1996 In this work aspects of the classical Connes-Lott non-commutative standard model are examined. In particular the relationship between the chiral structure of the standard model and the condition of Poincaré Duality is investigated.
Asquith, Rebecca, Asquith, R.
core
Application of Noncommutative Differential Geometry on Lattice to Anomaly
, 1999 The chiral anomaly in lattice abelian gauge theory is investigated by applying the geometric and topological method in noncommutative differential geometry(NCDG). A new kind of double complex and descent equation are proposed on infinite hypercubic lattice in arbitrary even dimensional Euclidean space, in the framework of NCDG.
Fujiwara, Takanori +2 more
openaire +2 more sources