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One-parameter co-semigroups on sequentially complete locally convex topological vector spaces

, 1995
Eijndhoven, van, S.J.L., Rijcke, de, M.M.A.   +1 more
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Locally Convex Topological Vector Spaces

1999
Since convexity will play a central role in all following chapters, the scalar field K over which vector spaces are defined is from now on assumed to be the real field R or the complex field C, unless the contrary is expressly stated. In most definitions and results (for example, the Hahn-Banach theorem) we shall not find it necessary to distinguish ...
H. H. Schaefer, M. P. Wolff
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Locally Convex Topological Vector Spaces

2015
Locally convex topological vector spaces form an important class of topological spaces. We have already seen some examples in the previous chapter. This chapter is motivated in part by the study of the space of functions analytic in a given open set and of its dual, and by the study of spaces of test functions and of distributions (for instance the ...
D. Alpay
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Proper Efficiency in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xi Yin Zheng
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Inverse of Berge’s maximum theorem in locally convex topological vector spaces and its applications

Georgian Mathematical Journal, 2022
Abstract In this paper, the inverse of Berge’s maximum theorem is established in a locally convex topological vector space. Using this result, the generalized Gale–Nikaido–Debreu’s lemma and the generalized coincidence point theorem are derived from the equilibrium theorem of generalized games. By combining the inverse of Berge’s maximum
Wen Li, Deyi Li, Yuqiang Feng
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On the Density of Henig Efficient Points in Locally Convex Topological Vector Spaces

Journal of Optimization Theory and Applications, 2014
Let \((X,\tau_0)\) be a Hausdorff locally convex space over \(\mathbb R\) with dual \(X^*\) and \(\tau\subset \tau_0\) another Hausdorff locally convex topology on \(X\), compatible with the duality \((X,X^*)\) and \(C\) a (not necessarily convex) cone in \(X\).
Newhall, Joseph, Goodrich, Robert K.
semanticscholar   +4 more sources

Bridging Classical and Contemporary Duality in Locally Convex Topological Vector Spaces

International Journal of Research and Scientific Innovation
This paper delves into the intricate relationship between various specialized classes of locally convex topological vector spaces and their corresponding duality theory. Building upon the foundational contributions of pioneering mathematicians in functional analysis, this work aims to provide a deeper understanding of the structural properties and ...
Dilip Kumar Sah, Mukesh Kumar Pal, Raj Kumar   +2 more
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Super Efficiency for a Vector Equilibrium in Locally Convex Topological Vector Spaces

2000
This paper deals with the vector equilibrium problem. The concept of super efficiency for vector equilibrium is introduced. A scalar characterization of super efficient solution for vector equilibrium is given. By using of the scalarization result, we discuss the connectedness of super efficient solutions set to the vector equilibrium problems in ...
Xun Hua Gong, Wan Tao Fu, Wei Liu
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