On the approximation of fixed points for locally pseudo-contractive mappings
نویسندگان
چکیده
منابع مشابه
Iterative Approximation of Fixed Points for Strongly Pseudo-contractive Mappings
The aim of this paper is to prove a convergence theorem of a generalized Ishikawa iteration sequence for two multivalued strongly pseudo-contractive mappings by using an approximation method in real uniformly smooth Banach spaces. We generalize and extend the results of Chang and Chang, Cho, Lee, Jung, and Kang.
متن کاملFirmly pseudo-contractive mappings and fixed points
We give some fixed point theorems for firmly pseudo-contractive mappings defined on nonconvex subsets of a Banach space. We also prove some fixed point results for firmly pseudo-contractive mappings with unbounded nonconvex domain in a reflexive Banach space.
متن کاملIterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-contractive Mappings
Suppose X = Lp (or Ip), p > 2, and K is a nonempty closed convex bounded subset of X. Suppose T: K —* K is a Lipschitzian strictly pseudo-contractive mapping of K into itself. Let {Cn}^_0 be a real sequence satisfying: (i) 0 < C„ < 1 for all n > 1, (") Z)rT=l Cn = °°> and Then the iteration process, zn G K, Zn+l = (1 — Cn)xn + CnTXn for n > 1, converges strongly to a fixed point of T in K.
متن کاملOn the Existence and Approximation of Fixed Points for Ćirić Type Contractive Mappings
Let (X, d) be a complete convex metric space, and C be a nonempty, closed and convex subset of X. We consider Ćirić type contractive self-mappings T of C satisfying: d(Tx, Tx) ≤ a max {d(x, y), c[d(x, Ty) + d(y, Tx)]} + b max {d(x, Tx), d(y, Ty)}, for all x, y ∈ C, where 0 < a < 1, a + b = 1, and c ≥ 0. We give a simple proof to an extension of Ćirić’s fixed point theorem [4] and Gregus’ fixed ...
متن کاملViscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings
Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence x n λ n fx n 1−λ n T n x n , where λ n ∈ 0, 1, {T n } is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence {x n } is proved.
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: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1995-1216820-8