Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Nam, Nguyen Mau"'
Autor:
Nam, Nguyen Mau, Sharkansky, Jacob
In this paper, we explore the concept of $\sigma$-quasiconvexity for functions defined on normed vector spaces. This notion encompasses two important and well-established concepts: quasiconvexity and strong quasiconvexity. We start by analyzing certa
Externí odkaz:
http://arxiv.org/abs/2409.17450
This paper has two primary objectives. First, we investigate fundamental qualitative properties of the generalized multi-source Weber problem formulated using the Minkowski gauge function. This includes proving the existence of global optimal solutio
Externí odkaz:
http://arxiv.org/abs/2409.13635
In this paper, we study generalized versions of the k-center problem, which involves finding k circles of the smallest possible equal radius that cover a finite set of points in the plane. By utilizing the Minkowski gauge function, we extend this pro
Externí odkaz:
http://arxiv.org/abs/2409.12091
In this paper, we first provide a simple variational proof of the existence of Nash equilibrium in Hilbert spaces by using optimality conditions in convex minimization and Schauder's fixed-point theorem. Then applications of convex analysis and gener
Externí odkaz:
http://arxiv.org/abs/2408.14433
This paper focuses on investigating generalized relative interior notions for sets in locally convex topological vector spaces with particular attentions to graphs of set-valued mappings and epigraphs of extended-real-valued functions. We introduce,
Externí odkaz:
http://arxiv.org/abs/2307.15869
In this paper, we present a novel concept of the Fenchel conjugate for set-valued mappings and investigate its properties in finite and infinite dimensions. After establishing the fundamental properties of the Fenchel conjugate for set-valued mapping
Externí odkaz:
http://arxiv.org/abs/2305.17612
This paper presents a study of generalized polyhedral convexity under basic operations on multifunctions. We address the preservation of generalized polyhedral convexity under sums and compositions of multifunctions, the domains and ranges of general
Externí odkaz:
http://arxiv.org/abs/2303.10520
In this paper, we introduce new properties of the relative interior calculus for nearly convex sets, functions, and set-valued mappings. These properties are important for the development of duality theory in optimization. Then we investigate optimal
Externí odkaz:
http://arxiv.org/abs/2303.07793
In this paper, we introduce the concept of nearly convex set-valued mappings and investigate fundamental properties of these mappings. Additionally, we establish a geometric approach for generalized differentiation of nearly convex set-valued mapping
Externí odkaz:
http://arxiv.org/abs/2302.08986
In this paper we study some relationships between polyhedral convex sets (PCS) and generalized polyhedral convex sets (GPCS). In particular, we clarify by a counterexample that the necessary and sufficient conditions for the separation of a convex se
Externí odkaz:
http://arxiv.org/abs/2212.12100