STRONG CONVERGENCE BY PSEUDOCONTRACTIVE MAPPINGS FOR THE NOOR ITERATION SCHEME
نویسندگان
چکیده
منابع مشابه
CONVERGENCE THEOREMS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS IN THE INTERMEDIATE SENSE FOR THE MODIFIED NOOR ITERATIVE SCHEME
We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and unifies the results of Schu [23] and Qin {it et al.} [25].
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we study the convergence of the modified noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily lipschitzian. our results improves, extends and unifies the results of schu [23] and qin {it et al.} [25].
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We prove a strong convergence theorem for the modified Noor iterations in the framework of CAT(0) spaces. Our results extend and improve the corresponding results of X. Qin, Y. Su and M. Shang, T. H. Kim and H. K. Xu and S. Saejung and some others.
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where E∗ denotes the dual space of E and 〈·, ·〉 denotes the generalized duality pairing. If E∗ is strictly convex, then J is single valued. In the sequel, we will denote the single-value duality mapping by j. Let C be a nonempty closed convex subset of E. Recall that a self-mapping f : C → C is said to be a contraction if there exists a constant δ ∈ 0, 1 such that ∥f x − f y ∥∥ ≤ δ‖x − y‖, ∀x, ...
متن کاملConvergence Analysis of an Iteration Scheme for Lipschitz Strongly Pseudocontractive Mappings
CONVERGENCE ANALYSIS OF AN ITERATION SCHEME FOR LIPSCHITZ STRONGLY PSEUDOCONTRACTIVE MAPPINGS Shin Min Kang Department of Mathematics, Gyeongsang National University, Jinju 660-701, KOREA [email protected] Arif Rafiq Hajvery University, 43-52 Industrial Area, Gulberg-III, Lahore, Pakistan [email protected] ABSTRACT In this paper, we establish the strong convergence for the Agarwal et al. [1] ite...
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ژورنال
عنوان ژورنال: East Asian mathematical journal
سال: 2015
ISSN: 1226-6973
DOI: 10.7858/eamj.2015.021