A viscosity Cesa`ro mean approximation method for split generalized vector equilibrium problem and fixed point problem | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 23, Issue 2, 2015, Pages 362-370 PDF (577.83 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2014.05.001 | ||
| Authors | ||
| K.R. Kazmi* ; S.H. Rizvi; Mohd. Farid | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India | ||
| Abstract | ||
| In this paper, we introduce and study an explicit iterative method to approximate a common solution of split generalized vector equilibrium problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces using the viscosity Cesa`ro mean approximation. We prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Further we give a numerical example to justify our main result. The results presented in this paper generalize, improve and unify the previously known results in this area. | ||
| Keywords | ||
| Split generalized vector equilibrium problem; Fixed-point problem; Nonexpansive mapping; Viscosity cesa`ro mean approximation method | ||
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