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  1. Article

    Open Access

    Optimal 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 ...

    Kar-hung Wong, Yu-chung Eugene Lee in Journal of Inequalities and Applications (2022)

  2. Article

    Open Access

    Strong 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

    Shih-sen Chang, Lin Wang, Heung Wing Joseph Lee in Fixed Point Theory and Applications (2013)

  3. No Access

    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...

    Jian-Wen Peng, Heung-Wing Joseph Lee, **n-Min Yang in Journal of Global Optimization (2006)

  4. No Access

    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...

    Jian Wen Peng, Heung Wing Joseph Lee in Mathematical Methods of Operations Research (2005)

  5. No Access

    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...

    Duan Li, Zhi-You Wu, Heung-Wing Joseph Lee, **n-Min Yang in Journal of Global Optimization (2005)

  6. No Access

    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...

    Duan Li, Zhiyou Wu, Heung Wing Joseph Lee in Generalized Convexity, Generalized Monoton… (2005)