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Characterizations of minimal elements of upper support with applications in minimizing DC functions

open access: yesOpen Mathematics
In this study, we discuss on the problem of minimizing the differences of two non-positive valued increasing, co-radiant and quasi-concave (ICRQC) functions defined on XX (where XX is a real locally convex topological vector space).
Mirzadeh Somayeh   +2 more
doaj   +1 more source

Research on a Class of Set-Valued Vector Equilibrium Problems and a Class of Mixed Variational Problems

open access: yesMathematics
This paper investigates the structural properties of solutions of vector equilibrium systems and mixed variational inequalities in topological vector spaces.
Wei Cheng, Weiqiang Gong
doaj   +1 more source

On the Replica Symmetric Solution in General Diluted Spin Glasses

open access: yesRandom Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT We present a unifying approach to studying the replica symmetric solution in general diluted spin glass models on random p$$ p $$‐uniform hypergraphs with sparsity parameter α$$ \alpha $$. Our result shows that there exist two key regimes in which the model exhibits replica symmetry and the free energy can be explicitly represented as the ...
Ratul Biswas, Wei‐Kuo Chen, Arnab Sen
wiley   +1 more source

Homotopy groups of ascending unions of infinite-dimensional manifolds [PDF]

open access: yes, 2010
Let M be a topological manifold modelled on topological vector spaces, which is the union of an ascending sequence of such manifolds M_n. We formulate a mild condition ensuring that the k-th homotopy group of M is the direct limit of the k-th homotopy ...
Glockner, Helge
core  

Production Equilibria in Vector Lattices [PDF]

open access: yes
The general purpose of this paper is to prove quasiequilibrium existence theorems for production economies with general consumption sets in an infinite dimensional commodity space, without assuming any monotonicity of preferences or free-disposal in ...
Monique Florenzano, Valeri Marakulin
core  

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