Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces
نویسندگان
چکیده
منابع مشابه
Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces
The theory of modular spaces was initiated by Nakano 1 in 1950 in connection with the theory of order spaces and redefined and generalized by Musielak and Orlicz 2 in 1959. These spaces were developed following the successful theory of Orlicz spaces, which replaces the particular, integral form of the nonlinear functional, which controls the growth of members of the space, by an abstractly give...
متن کاملCommon Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces
Let C be a nonempty bounded closed convex subset of a complete CAT 0 space X. We prove that the common fixed point set of any commuting family of asymptotic pointwise nonexpansive mappings on C is nonempty closed and convex. We also show that, under some suitable conditions, the sequence {xk}k 1 defined by xk 1 1 − tmk xk ⊕ tmkT nk m y m−1 k, y m−1 k 1 − t m−1 k xk ⊕ t m−1 kT m−1y m−2 k, y m−2 ...
متن کاملGeneralized α-nonexpansive mappings in Banach spaces
We consider a new type of monotone nonexpansive mappings in an ordered Banach space X with partial order . This new class of nonlinear mappings properly contains nonexpansive, firmly-nonexpansive and Suzuki-type generalized nonexpansive mappings and partially extends α-nonexpansive mappings. We obtain some existence theorems and weak and strong convergence theorems for the Mann iteration. Some ...
متن کاملk LIPSCHITZIAN NONEXPANSIVE MAPPINGS IN BANACH SPACES
Let E be a real Banach space with uniformly Gâteaux differentiable norm possessing uniform normal structure. K is a nonempty bounded closed convex subset of E, and { } ( ) ... , 2 , 1 = n Tn is a sequence of − n k Lipschitzian nonexpansive mappings from K into itself such that 1 lim = ∞ → n n k and ( ) 0 1 / ≠ ∞ = n n T F ∩ and f be a contraction on K. Under sutiable conditions on sequence { },...
متن کاملApproximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and Halpern-type iterative algorithms with errors to find fixed points of weak Bregman relatively nonexpansive mappings and Bregman relatively nonexpa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/316813