Web13 mrt. 2015 · If T is a self-mapping, the iterative scheme above has been studied in an impressive amount of papers (see [] and the references therein) in the last decades and it is often called ‘segmenting Mann’ [2–4] or ‘Krasnoselskii-Mann’ (e.g., [5, 6]) iteration.. A general result on algorithm is due to Reich [] and states that the sequence \(\{x_{n}\}\) … WebKRASNOSELSKII TYPE FIXED POINT THEOREMS 1215 Step 1. H(x) is a convex set for each x ∈ M.Thisisanimmediateconsequence of assumption (d). Step 2. H is a closed …
Periodic Solutions of Almost Linear Volterra Integro-dynamic …
The Banach fixed-point theorem (1922) gives a general criterion guaranteeing that, if it is satisfied, the procedure of iterating a function yields a fixed point. By contrast, the Brouwer fixed-point theorem (1911) is a non-constructive result: it says that any continuous function from the closed unit ball in n-dimensional Euclidean space to itself must have a fixed point, but it doesn't describe how to find the fixed point (See also Sperner's lemma). WebThe stability results are obtained by means of Krasnoselskii-Burton's theorem and they improve on the work of T.A. Burton (see Theorem 4 in [Liapunov functionals, fixed points, and stability by Krasnoselskii's theorem, Nonlinear Studies 9 (2001), 181-190]) in which he takes \(c=0\) in the above equation. kappei 映画化 キャスト
ON A FIXED POINT THEOREM OF KRASNOSELSKII FOR LOCALLY …
Web2 sep. 2024 · Krasnoselskii’s fixed-point theorem is used to derive some sufficient conditions for the existence of positive periodic solutions to the aforementioned problem. The remainder of this paper is organized as follows: in the next Section, we deliver the definitions and lemmas required to prove our main results. Web17 sep. 2024 · In this paper we consider a neutral differential equation with variable delays and give some new conditions for the boundedness and stability results by using of Krasnoselskii’s fixed point theorem. Namely, a necessary and sufficient condition ensuring the asymptotic stability is proved, which improves and generalizes some results … WebFIXED POINT THEOREMS OF KRASNOSELSKII TYPE IN A SPACE OF CONTINUOUS FUNCTIONS C. Avramescu, C. Vladimirescu, A. Cuza Mathematics 2004 A well known … kappei 映画 キャスト