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In this paper, we study a new iterative method for solving mixed equilibrium problem and a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the framework of reflexive real Banach spaces. Moreover, we prove a strong convergence theorem for finding common fixed points which also are solutions of a mixed equilibrium problem.
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참고문헌 (32)
참고문헌 신청
Y. I. Alber / 1996 / Theory and Applications of Nonlinear Operator of Accretive and Monotone Type / Marcel Dekker :15~50
M. Aslam Noor / 2005 / Generalized mixed quasi-equilibrium problems with trifunction / Appl. Math. Lett 18:695~700
M. Aslam Noor / 1994 / On general nonlinear complementarity problems and quasi equilibria / Matematiche 49:313~331
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63:123~145
H. H. Bauschke / 2001 / Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces / Commun. Contemp. Math 3:615~647
M. Aslam Noor / 2005 / Generalized mixed quasi-equilibrium problems with trifunction / Appl. Math. Lett 18:695~700
M. Aslam Noor / 1994 / On general nonlinear complementarity problems and quasi equilibria / Matematiche 49:313~331
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63:123~145
H. H. Bauschke / 2001 / Essential smoothness, essential strict convexity, and Legendre functions in Banach spaces / Commun. Contemp. Math 3:615~647
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