an iterative method for amenable semigroup and infinite family of non expansive mappings in hilbert spaces

نویسندگان

husain piri

hamid vaezi

چکیده

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results presented in this paper mainly extend the corresponding results announced by qin et al. [x. qin, y. j. cho, and s. m. kang, an iterative method for an infinite family of non-expansive mappings in hilbert spaces, bull. malays. math. sci. soc. 32 (2009) 161-171] and many others. end{abstract}

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 38

شماره 2 2012

میزبانی شده توسط پلتفرم ابری doprax.com

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