Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (4): 763-770.

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A System of Split Equilibrium Problems for Sequences of Bifunctions

Deng Weiqi   

  1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming 650221
  • Received:2015-10-21 Revised:2016-03-17 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Support by the General Science Foundation of Yunnan Province Education Depertment(2015Y280)

Abstract:

The purpose in this paper is to introduce an up-to-date method for the approximation of an element of the set of solutions to the split common fixed point problem for countable families of nonlinear operators, by which an iterative algorithm is developed for solving a new type of problems, namely, a system of split equilibrium problems for two sequences of bifunctions. A strong convergence theorem is established in the framework of Hilbert spaces.

Key words: System of split equilibrium problems, Common fixed points, Hilbert spaces

CLC Number: 

  • O177
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