Generalized set-valued variational inclusions and resolvent equations

被引:112
作者
Noor, MA [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia
关键词
variational inequalities; resolvent equations; iterative methods; convergence criteria;
D O I
10.1006/jmaa.1998.6127
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem, using the resolvent operator technique. This equivalence is used to suggest and analyze some iterative algorithms for solving the generalized set-valued variational inclusions and related optimization problems. (C) 1998 Academic Press.
引用
收藏
页码:206 / 220
页数:15
相关论文
共 54 条
  • [1] Adly S., 1997, SOLVABILITY GEN NONL
  • [2] Attouch H., 1996, J. Convex Anal., V3, P1
  • [3] Baiocchi C., 1984, Variational and Quasivariational Inequalities: Applications to Free-Boundary Problems
  • [4] BREZIS H., 1973, North-Holland Math. Stud., V5
  • [5] Cottle R.W., 1980, Variational Inequalities and Complementarity Problems: Theory and Applications
  • [6] Crank J., 1984, Free and Moving Boundary Problems
  • [7] Demyanov V. F., 1996, QUASIDIFFERENTIABILI
  • [8] Duvaut G., 1976, GRUNDLEHREN MATH WIS, DOI 10.1007/978-3-642-66165-5
  • [9] EKELAND I, 1973, CONVEX ANAL VARIATIO
  • [10] Giannessi F., 1995, Variational Inequalities and Network Equilibrium Problems