Open AccessA viscosity Cesàro mean approximation method for split generalized vector equilibrium problem and fixed point problem
Author(s) -
Kaleem Raza Kazmi,
Shuja Haider Rizvi,
Mohammad Farid
Publication year - 2015
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2014.05.001
Subject(s) - mathematics , hilbert space , fixed point , convergence (economics) , viscosity , iterative method , scheme (mathematics) , mathematical optimization , mathematical analysis , physics , quantum mechanics , economics , economic growth
AbstractIn 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 Cesàro 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