APPROXIMATION OF FIXED POINTS FOR A CONTINUOUS REPRESENTATION OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES

سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 289

فایل این مقاله در 20 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_SCMA-6-1_005

تاریخ نمایه سازی: 19 شهریور 1396

چکیده مقاله:

This paper introduces an implicit scheme for a contin- uous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means de ned on an appropriate space of bounded, continuous realvalued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems ofequilibrium problems and the common xed points of a sequence of nonexpansive mappings and a continuous representation of nonex- pansive mappings.

نویسندگان