Convexity of $\delta$-Suns and $\gamma$-Suns in Asymmetric Spaces

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2024-06-28 DOI:10.1134/S1061920824020158

I.G. Tsar’kov

引用次数: 0

Abstract

Convexity of $\delta$-suns and $\gamma$-suns is studied in asymmetric spaces with due consideration of geometric properties of the spaces. Known results for usual normed spaces are carried over to the case of general asymmetric normed spaces.

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非对称空间中 $$\delta$$ -Suns 和 $$\gamma$$ -Suns 的凸性

Abstract 研究了非对称空间中的（\delta\）-suns 和（\gamma\）-suns 的凸性，并适当考虑了空间的几何特性。通常规范空间的已知结果被引入到一般非对称规范空间的情况中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.

Convexity of \(\delta\)-Suns and \(\gamma\)-Suns in Asymmetric Spaces

Abstract