Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A NEW MAPPING FOR FINDING A COMMON SOLUTION OF SPLIT GENERALIZED EQUILIBRIUM PROBLEM, VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM

  • Farid, Mohammad (Unaizah College of Engineering Qassim University) ;
  • Kazmi, Kaleem Raza (Department of Mathematics Faculty of Science and Arts - Rabigh King Abdulaziz University)
  • Received : 2018.09.03
  • Accepted : 2019.04.23
  • Published : 2019.06.30
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Abstract

In this paper, we introduce and study a general iterative algorithm to approximate a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces. Further, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Finally, we derive some consequences from our main result. The results presented in this paper extended and unify many of the previously known results in this area.

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References

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