Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1254-1263.

• Articles • Previous Articles     Next Articles

Viscosity Method for Hierarchical Fixed Point Approach to Hierarchical Variational Inclusion Problems

 DENG Wei-Qi   

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming  650221
  • Received:2013-04-26 Revised:2014-06-13 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11061037)和云南财经大学科学研究基金一般项目(YC2013A02)资助

Abstract:

Based on an original technique, i.e., a special way of choosing the indexes of involved mappings, we utilize a viscosity method for hierarchically approximating common fixed points of a kind of countable families of nonlinear mappings;
under suitable conditions, a strong convergence theorem is obtained for solving the hierarchical variational inclusion problems in the setting of Hilbert spaces.

Key words: Hierarchical fixed point, Viscosity approximation, Hierarchical variational inclusion, Resolvent operator

CLC Number: 

  • 49J40
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