A new class of generalized f-projected dynamical system in Banach spaces

作者：Li Xi; Huang Nan jing^*

来源：Applicable Analysis, 2013, 92(10): 2049-2060.

DOI：10.1080/00036811.2012.716510

• generalized f-projected dynamical system
• convexity modulus
• equilibrium point
• global convergence stability

In this article, a new class of generalized f-projected dynamical systems is introduced and studied in Banach spaces. A global existence and uniqueness result of generalized f-projected dynamical system is proved, which generalizes the existence result of Xia and Vincent [Y.S. Xia and T.L. Vincent, On the stability of global projected dynamical systems, J. Optim. Theory Appl. 106 (2009), pp. 129-150]. The global convergence stability of the generalized f-projected dynamical system and the sensitivity result of solutions set with perturbations of the constraint sets are also obtained under some suitable conditions.

• 出版日期2013-10-1
• 单位四川大学