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In this paper, we propose a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of $2$-generalized hybrid mappings in a Hilbert space. Our results generalize and improve some existing results in the literature. A numerical example is given to illustrate the usability of our results.
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참고문헌 (29)
참고문헌 신청
R. P. Agarwal / 2009 / Fixed Point Theory for Lipschitzian-type Mappings with Applications / Springer
S. Alizadeh / 2015 / Weak and strong convergence theorems for m-generalized hybrid mappings in Hilbert spaces / Topol. Methods Nonlinear Anal 46(1):315~328
S. Alizadeh / 2016 / A strong convergence theorem for equilibrium problems and generalized hybrid mappings / Mediterr. J. Math 13(1):379~390
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
L. C. Ceng / 2009 / An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings / J. Comput. Appl. Math 223(2):967~974
S. Alizadeh / 2015 / Weak and strong convergence theorems for m-generalized hybrid mappings in Hilbert spaces / Topol. Methods Nonlinear Anal 46(1):315~328
S. Alizadeh / 2016 / A strong convergence theorem for equilibrium problems and generalized hybrid mappings / Mediterr. J. Math 13(1):379~390
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63(1-4):123~145
L. C. Ceng / 2009 / An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings / J. Comput. Appl. Math 223(2):967~974
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