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Article
Open AccessOptimal transmission of messages in computer networks – an optimal control problem involving control-dependent time-delayed arguments
In this paper, we find the optimal transmission of messages in computer networks. This problem has been formulated as a nondelayed optimal control problem in several recent papers on TCP (transmission control ...
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Article
Open AccessStrong and Δ-convergence for mixed type total asymptotically nonexpansive map**s in CAT(0) spaces
It is our purpose in this paper first to introduce the class of total asymptotically nonexpansive nonself map**s and to prove the demiclosed principle for such map**s in
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Article
On System of Generalized Vector Quasi-equilibrium Problems with Set-valued Maps
In this paper, we introduce four new types of the system of generalized vector quasi-equilibrium problems with set-valued maps which include system of vector quasi-equilibrium problems, system of vector equili...
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Article
Hahn-Banach theorems and subgradients of set-valued maps
Some new results which generalize the Hahn-Banach theorem from scalar or vector-valued case to set-valued case are obtained. The existence of the Borwein-strong subgradient and Yang-weak subgradient for set-va...
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Article
Hidden Convex Minimization
A class of nonconvex minimization problems can be classified as hidden convex minimization problems. A nonconvex minimization problem is called a hidden convex minimization problem if there exists an equivalen...
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Chapter and Conference Paper
Identification of Hidden Convex Minimization Problems
If a nonconvex minimization problem can be converted into an equivalent convex minimization problem, the primal nonconvex minimization problem is called a hidden convex minimization problem. Sufficient conditi...