Fixed points and common points for fundamentally nonexpansive mappings on banach spaces
عنوان مقاله: Fixed points and common points for fundamentally nonexpansive mappings on banach spaces
شناسه ملی مقاله: JR_JHSMS-4-1_005
منتشر شده در در سال 1394
شناسه ملی مقاله: JR_JHSMS-4-1_005
منتشر شده در در سال 1394
مشخصات نویسندگان مقاله:
Moohammad Moosaei - Department of Mathematics, Faculty of Science, Bu-Ali Sina University, P.O.Box ۶۵۱۷۸۳۸۶۹۵, Hamedan, Iran
خلاصه مقاله:
Moohammad Moosaei - Department of Mathematics, Faculty of Science, Bu-Ali Sina University, P.O.Box ۶۵۱۷۸۳۸۶۹۵, Hamedan, Iran
In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact convex subset of a strictly convex Banach space with the Opial condition and a uniformly convex in every direction Banach space, respectively; moreover, we show that the common fixed points set of such a family of mappings is closed and convex.
کلمات کلیدی: Common fixed point, fixed point, Fundamentally nonexpansive mappings, nonexpansive mappings, Opial’s condition, Uniformly convex in every direction Banach spaces
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902671/