Jungck-type implicit iterative algorithms with numerical examples
نویسندگان
چکیده
منابع مشابه
Analytical and numerical treatment of Jungck-type iterative schemes
In this paper, we introduce a new and general Jungck-type iterative scheme for a pair of nonself mappings and study its strong convergence, stability and data dependence. It is exhibited that our iterative scheme has much better convergence rate than those of Jungck–Mann, Jungck–Ishikawa, Jungck–Noor and Jungck–CR iterative schemes. Numerical examples in support of validity and applications of ...
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Let (X ,d) be a metric space and T : X → X . Several physical problems, expressed as a fixed point equation Tx = x, are solved by approximating a sequence {xn} ⊂ X generated by an iterative procedure f (T ,xn). Let the sequence {xn} converge to a fixed point of T . The iterative procedure f (T ,xn) is considered numerically stable if and only if a sequence {yn} ⊂ X approximatively close to {xn}...
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This article investigates some properties of quasi-cyclic and cyclic Jungck modified TS-iterative schemes in complete metric spaces and Banach spaces. In particular, properties of convergence of distances and sequences associated with the self-mappings which define the Jungck modified TS-iterative procedures are studied as well as some properties concerning the convergence of the solution to co...
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and Applied Analysis 3 Szn − p = (1 − γn) Sxn + γnTxn − (1 − γn + γn) p ≤ (1 − γ n ) Sxn − p + γn Txn − Tz ≤ (1 − γ n ) Sxn − p + γ n {φ (‖Sz − Tz‖) + a Sxn − Sz } = (1 − γ n (1 − a)) Sxn − p . (13) It follows from (13) that Syn − p ≤ (1 − βn) a Sxn − p + β n a (1 − γ n (1 − a)) Sxn − p . (14) Using (1 − β ...
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We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are imp...
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ژورنال
عنوان ژورنال: Filomat
سال: 2017
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1708303h