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In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Mannís method. We obtain a strong convergence for the sequences generated by the proposed method.
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참고문헌 (22)
참고문헌 신청
E.Blum / 1994 / From optimization and variational inequality to equilibrium problems / Math. Student 63 : 127 ~ 149
F.E.Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Natl. Acad. Sci 54 : 1041 ~ 1044
J.K.Kim / 1998 / Weak convergence theorems for almost-orbits of an asymptotically nonexpansive semigroup in Banach spaces / Comm. Korean Math. Soc 13 : 501 ~ 513
J.K.Kim / 2013 / A new explicit iteration method for variational inequali-ties on the set of common xed points for a nite family of nonexpansive mappings / J. Inequal. Appl
K.Goebel / 1990 / Topics in metric xed point theory of cambridge studies in advanced mathematics / Cambridge University Press
F.E.Browder / 1965 / Nonexpansive nonlinear operators in a Banach space / Proc. Natl. Acad. Sci 54 : 1041 ~ 1044
J.K.Kim / 1998 / Weak convergence theorems for almost-orbits of an asymptotically nonexpansive semigroup in Banach spaces / Comm. Korean Math. Soc 13 : 501 ~ 513
J.K.Kim / 2013 / A new explicit iteration method for variational inequali-ties on the set of common xed points for a nite family of nonexpansive mappings / J. Inequal. Appl
K.Goebel / 1990 / Topics in metric xed point theory of cambridge studies in advanced mathematics / Cambridge University Press
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