Weak stability of Ishikawa iterations for strongly demicontractive mappings in Hilbert spaces
نویسندگان
چکیده
In this article, we establish a weak stability theorem for Ishikawa iterations in Hilbert spaces. Moreover, strongly demicontractive mapping is presented to illustrate that the iteration of T weakly T-stable but not T-stable. Our results are new and extend several known results.
منابع مشابه
Ishikawa Iterations for Equilibrium and Fixed Point Problems for Nonexpansive Mappings in Hilbert Spaces
In this paper, we introduce an iterative scheme Ishikawa-type for finding a common element of the set EP (G) of the equilibrium points of a bifunction G and the set Fix(T ) of fixed points of a nonexpansive mapping T in a Hilbert space H. We prove that the method converges strongly to an element z ∈ Fix(T ) T EP (G) which is the unique solution of the variational inequality 〈(A− γf)z, x− z〉 ≥ 0...
متن کاملStrong convergence of modified Ishikawa iterations for nonlinear mappings
In this paper, we prove a strong convergence theorem of modified Ishikawa iterations for relatively asymptotically nonexpansive mappings in Banach space. Our results extend and improve the recent results by Nakajo, Takahashi, Kim, Xu, Mat-sushita and some others.
متن کاملStrong Convergence of Ishikawa Iterative Method for Nonexpansive Mappings in Hilbert Spaces
In this paper, we introduce a modified Ishikawa iterative process for approximating a fixed point of nonexpansive mappings in Hilbert spaces. we establish the strong convergence theorem of the general iteration scheme under some mild conditions. Our results extend and improve the results announced by many others.
متن کاملApproximation of Fixed Points of Multivalued Demicontractive and Multivalued Hemicontractive Mappings in Hilbert Spaces
We give control conditions for the approximation of fixed points of multivalued demicontractive and multivalued hemicontractive maps recently introduced in [1]. Many of our conditions are weaker than the conditions used in [1], hence our results improve and complement the convergence results in [1] and the references therein.
متن کاملIshikawa Iterative Process with Errors for Strongly Pseudo-contractive Mappings in Banach Spaces
In this paper,we study the Ishikawa iterative sequences with errors for Lipschitzian strongly pseudo-contractive operator in arbitrary real Banach spaces. Our results improve the results obtained previously by C. E. Chidume [3] and Zeng [9].
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: Filomat
سال: 2022
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2214869w