Hybrid Projection Algorithms for Asymptotically Strict Quasi-ϕ-Pseudocontractions
نویسندگان
چکیده
منابع مشابه
Hybrid Projection Algorithms for Asymptotically Strict Quasi-φ-Pseudocontractions
and Applied Analysis 3 It is well known that, in an infinite dimensional Hilbert space, the normal Mann iterative algorithm has only weak convergence, in general, even for nonexpansive mappings. Hybrid projection algorithms are popular tool to prove strong convergence of iterative sequences without compactness assumptions. Recently, hybrid projection algorithms have received rapid developments;...
متن کاملHybrid Projection Algorithms for Total Asymptotically Strict Quasi-φ-pseudo-contractions
The purpose of this article is to prove strong convergence theorems for total asymptotically strict quasi-φ-pseudo-contractions by using a hybrid projection algorithm in Banach spaces. As applications, we apply our main results to find minimizers of proper, lower semicontinuous, and convex functionals and solutions of equilibrium problems.
متن کاملAsymptotically Strict Pseudocontractions
and Applied Analysis 3 3 A mapping G : H → H is said to be semicompact if, for any bounded sequence {xn} ⊂ H with limn→∞‖xn −Gxn‖ 0, there exists a subsequence {xni} ⊂ {xn} such that xni converges strongly to a point x ∗ ∈ H. Now, we give one example of the γ, {kn} -asymptotically strict pseudocontraction mapping. Example 2.3. Let B be the unit ball in a Hilbert space l2, and define a mapping T...
متن کاملStrong convergence theorems for fixed points of asymptotically strict quasi-φ-pseudocontractions
It is known that a uniformly convex Banach space is reflexive and strictly convex. E is said to be smooth provided limt→ ‖x+ty‖–‖x‖ t exists for all x, y ∈UE . It is also said to be uniformly smooth if the limit is attained uniformly for all x, y ∈UE . It is well known that if E* is strictly convex, then J is single valued; if E* is reflexive, and smooth, then J is single valued and demicontin...
متن کاملSome results on fixed points of asymptotically strict quasi-φ-pseudocontractions in the intermediate sense
*Correspondence: [email protected] 2College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, 650221, China Full list of author information is available at the end of the article Abstract In this paper, a new nonlinear mapping, asymptotically strict quasi-φ-pseudocontraction in the intermediate sense, is introduced. Projection algorithms are considered for ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2011
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2011/142626