THE COMPARABLY ALMOST (S,T)- STABILITY FOR RANDOM JUNGCK-TYPE ITERATIVE SCHEMES
نویسندگان
چکیده
منابع مشابه
Stability of Jungck-type iterative procedures
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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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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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: Facta Universitatis, Series: Mathematics and Informatics
سال: 2019
ISSN: 2406-047X,0352-9665
DOI: 10.22190/fumi1902175a