Approximating sequences in Banach spaces
نویسندگان
چکیده
منابع مشابه
New iteration process for approximating fixed points in Banach spaces
The object of this paper is to present a new iteration process. We will show that our process is faster than the known recent iterative schemes. We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings. We also present a numerical example for proving the rate of convergence of our res...
متن کاملMultipliers of pg-Bessel sequences in Banach spaces
In this paper, we introduce $(p,q)g-$Bessel multipliers in Banach spaces and we show that under some conditions a $(p,q)g-$Bessel multiplier is invertible. Also, we show the continuous dependency of $(p,q)g-$Bessel multipliers on their parameters.
متن کاملON Co SEQUENCES IN BANACH SPACES
A Banach space has property (S) if every normalized weakly null sequence contains a subsequence equivalent to the unit vector basis of c0. We show that the equivalence constant can be chosen "uniformly", i.e., independent of the choice of the normalized weakly null sequence. Furthermore we show that a Banach space with property (S) has property (u). This solves in the negative the conjecture th...
متن کاملApproximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces
We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...
متن کاملApproximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space is recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we show that appropriate Ishihawa iterate algorithms ensure weak and strong convergence to a fixed point of such a mapping. Our theorems are also exten...
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: Časopis pro pěstování matematiky
سال: 1962
ISSN: 0528-2195
DOI: 10.21136/cpm.1962.117413