APPROXIMATING SOLUTION OF GENERALIZED MIXED EQUILIBRIUM PROBLEM AND FIXED POINT OF MULTI VALUED STRICTLY PSEUDOCONTRACTIVE MAPPINGS

Authors

  • J. N. EZEORA DEPARTMENT OF MATHEMATICS AND STATISTICS, UNIVERSITY OF PORT HARCOURT,

Abstract

A new iterative algorithm is constructed using the shrinking projection method, the sequence of the algorithm is used to approximate a common element of the set of solution of a finite family of generalized mixed equilibrium problem and the set of common fixed points of a finite family of multi-valued strictly pseudo-contractive mappings in real Hilbert space. The
result obtained is a signicant improvement on many recent important results.

References

C. Aoyama, F. Kohsaka, and W. Takahashi Shrinking projection methods for firmly nonexpansive mappings, Nonlinear Anal., 71, (2009), 1626-1632.

E. Blum and W. Oettli , From optimization and variational inequalities to equilibrium problems, Math. Student, 63, (1994) 123-145.

L.E.J Brouwer:, Abbildung von Mannigfaltigkeiten. Math. Ann. 71 (4), (1912)

A. Bunyawat, and S. Suantai Hybrid methods for a mixed equilibrium problem and fixed points of a countable family of multivalued nonexpansive mappings, Fixed Point Theory and Appl., (2013). doi:10.1186/1687-1812-2013-236,

L.C. Ceng, Q.H. Ansari, and J.C, Yao, Hybrid proximal-type and hybrid shrinking projection algorithms for equilibrium problems, maximal monotone operators, and relatively nonexpansive mappings, Numer. Funct. Anal. Optim., 31(7), doi:10.1080/01630563.2010.496697, (2010), 763-797.

L.C. Ceng, Y.C. Yao, A hybrid scheme for mixed equilibrium problems and fixed point problems, J. Comput. Appl. Math,214, (2008), 186-201.

Downloads

Published

2019-12-31

Issue

Section

Articles

How to Cite

APPROXIMATING SOLUTION OF GENERALIZED MIXED EQUILIBRIUM PROBLEM AND FIXED POINT OF MULTI VALUED STRICTLY PSEUDOCONTRACTIVE MAPPINGS. (2019). Journal of the Nigerian Mathematical Society, 38(3), 515-532. https://ojs.ictp.it/jnms/index.php/jnms/article/view/511