On generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality

被引:0
作者
Jianmin Song
Minjiang Chen
机构
[1] Shijiazhuang University of Economics,School of Mathematics and Sciences
来源
Fixed Point Theory and Applications | / 2013卷
关键词
asymptotically quasi-; -nonexpansive mapping; generalized asymptotically quasi-; -nonexpansive mapping; generalized projection; equilibrium problem; fixed point;
D O I
暂无
中图分类号
学科分类号
摘要
Generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality are investigated. A strong convergence theorem for common solutions to a fixed point problem of generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality is established in a Banach space.
引用
收藏
相关论文
共 68 条
  • [1] Cho SY(2012)Zero point theorems for Fixed Point Theory 13 49-58
  • [2] Kang SM(2011)-accretive operators in a Banach space J. Math. Comput. Sci 1 77-88
  • [3] Mahato NK(2012)Equilibrium problem under various types of convexities in Banach space J. Comput. Appl. Math 236 1733-1742
  • [4] Nahak C(2012)Fixed point optimization algorithm and its application to network bandwidth allocation Commun. Optim. Theory 1 1-18
  • [5] Iiduka H(2010)An approximate bundle method for solving variational inequalities Nonlinear Anal 11 2963-2972
  • [6] Shen J(2002)Iterative methods for generalized equilibrium problems and fixed point problems with applications Appl. Math. Comput 126 157-179
  • [7] Pang LP(2012)Summed squared distance error reduction by simultaneous multiprojections and applications J. Math. Comput. Sci 2 1475-1497
  • [8] Qin X(2012)Variational iteration method for solving optimization problems Eng. Math. Lett 2 34-41
  • [9] Chang SS(2004)Decomposition method for solving system of linear equations Nonlinear Anal 56 715-738
  • [10] Kang SM(2010)Projection and proximal point methods: convergence results and counterexamples Glasg. Math. J 52 241-252