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In this paper, a new iterative scheme based on the extra-gradient-like method for finding a common element of the set of fixed points of a finite family of nonexpansive mappings and the set of solutions of modified variational inequalities in Banach spaces. A strong convergence theorem for this iterative scheme in Banach spaces is established. Our results extend recent results announced by many others.
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참고문헌 (14)
참고문헌 신청
A. Kangtunyakarn / 2009 / A new mapping for nding common solutions of equilibrium probelms and xed point problems of nite family of nonexpansive mappings / Nonlinear Anal 71
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Anal 61 : 341 ~ 350
H. K. Xu / 1991 / Inequalities in Banach spaces with applications / Nonlinear Anal 16 : 1127 ~ 1138
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 : 240 ~ 256
K. Aoyama / 2006 / Weak convergence of an iterative sequence for accretive operators in Banach spaces / Fixed Point Theory Appl 2006 : 35390 ~
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Anal 61 : 341 ~ 350
H. K. Xu / 1991 / Inequalities in Banach spaces with applications / Nonlinear Anal 16 : 1127 ~ 1138
H. K. Xu / 2002 / Iterative algorithms for nonlinear operators / J. London Math. Soc 66 : 240 ~ 256
K. Aoyama / 2006 / Weak convergence of an iterative sequence for accretive operators in Banach spaces / Fixed Point Theory Appl 2006 : 35390 ~
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