Characterizations of minimal elements of upper support with applications in minimizing DC functions
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
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
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]
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
A Primer on Topological Vector Spaces and Locally Convex Spaces [PDF]
Alexander Schmeding
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Production Equilibria in Vector Lattices [PDF]
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
A Note on the Topological Transversality Theorem for Weakly Upper Semicontinuous, Weakly Compact Maps on Locally Convex Topological Vector Spaces [PDF]
Donal O’Regan
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Cantor's intersection theorem and some generalized fixed point theorems over a locally convex topological vector space [PDF]
A. P. Baisnab+2 more
openalex +1 more source
Some optimality conditions of set-valued optimization problems in locally convex topological vector spaces [PDF]
Renying Zeng
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