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REMARKS ON THE CONCEPT OF ABSTRACT CONVEX SPACES (Nonlinear Analysis and Convex Analysis)

open access: yesREMARKS ON THE CONCEPT OF ABSTRACT CONVEX SPACES (Nonlinear Analysis and Convex Analysis)
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On Convexity of Cooperative Games (Nonlinear Analysis and Convex Analysis)

open access: yesOn Convexity of Cooperative Games (Nonlinear Analysis and Convex Analysis)
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On projection algorithm for convex feasibility problems (Nonlinear Analysis and Convex Analysis)

open access: yesOn projection algorithm for convex feasibility problems (Nonlinear Analysis and Convex Analysis)
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Abstract Convexity in Measure Theory and in Convex Analysis

Journal of Mathematical Sciences, 2003
The paper under report is a survey on the so-called ``abstract convex analysis'' and on some applications to optimization problems. If \(\Omega\) is a set and \(H\) is a class of functions from \(\Omega\) into \(\mathbb{R}\), a function \(f: \Omega\to\mathbb{R}\cup \{+\infty\}\) is called \(H\)-convex if it is the supremum of a family of functions ...
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Analysis of Matrix-Convex Functions

Cybernetics and Systems Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amirgalieva, S. N.   +2 more
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Convex Functionals on Convex Sets and Convex Analysis

1985
Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative).
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A convex analysis approach for convex multiplicative programming

Journal of Global Optimization, 2007
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Oliveira, Rúbia M.   +1 more
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