Algorithms for treating equilibrium and fixed point problems

被引:0
作者
Xiaolong Qin
Sun Young Cho
Lin Wang
机构
[1] Hangzhou Normal University,Department of Mathematics
[2] Gyeongsang National University,Department of Mathematics
[3] Yunnan University of Finance and Economics,College of Statistics and Mathematics
来源
Fixed Point Theory and Applications | / 2013卷
关键词
asymptotically quasi-; -nonexpansive mapping; equilibrium problem; fixed point; generalized projection; zero point;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, a common solution problem is investigated based on a projection algorithm. Strong convergence theorems for common solutions of a system of equilibrium problems and a family of asymptotically quasi-ϕ-nonexpansive mappings are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.
引用
收藏
相关论文
共 60 条
[1]  
Blum E(1994)From optimization and variational inequalities to equilibrium problems Math. Stud 63 123-145
[2]  
Oettli W(2006)Random equilibrium problems on networks Math. Comput. Model 43 880-891
[3]  
Gwinner J(2012)A stochastic algorithm for the valuation of financial derivatives using the hyperbolic distributional variates Math. Finance Lett 1 43-56
[4]  
Raciti F(2012)A new hybrid WC-FR conjugate gradient-algorithm with modified secant condition for unconstrained optimization J. Math. Comput. Sci 2 937-966
[5]  
Osu BO(2013)Iterative processes for common fixed points of two different families of mappings with applications J. Glob. Optim 57 1429-1446
[6]  
Solomon OU(1984)A network formulation of market equilibrium problems and variational inequalities Oper. Res. Lett 3 247-250
[7]  
Al-Bayati AY(2012)A constructive version of Ky Fan’s coincidence theorem J. Math. Comput. Sci 2 926-936
[8]  
Al-Kawaz RZ(2011)Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process Appl. Math. Lett 24 224-228
[9]  
Cho SY(2009)Existence and regularity of solutions to nonlinear degenerate evolutionary variational inequalities with applications to dynamic network equilibrium problems Appl. Math. Comput 208 1-13
[10]  
Qin X(2012)Approximation of common solutions of variational inequalities via strict pseudocontractions Acta Math. Sci 32 1607-1618