Guo-krasnoselskii fixed point theorem pdf

An application of Krasnosel'skii fixed point theorem in the theory of fractional calculus for non-local fractional delay differential systems of order 1 < r < 2 in Banach spaces has been provided To find the solution for the EPS, we use the Guo-Krasnoselskii theorem. The fractional differential equation is converted into an alternative integral structure using the Atangana-Baleanu fractional integral operator. Also, HU-stability is analyzed. We include an example with specific parameters and assumptions to show the results of the proposal. filexlib. It is well known that Krasnoselskii's theorem may be combined with Banach and Schauder's fixed point theorems. In a certain sense, we can interpret this as follows: if a compact operator has the fixed point property, under a small perturbation, then this property can be inherited. The sum of operators is clearly seen in delay integral In this paper, we consider the existence of positive solutions for a class of nonlinear boundary-value problem of fractional differential equations with integral boundary conditions. Our analysis relies on known Guo-Krasnoselskii fixed point theorem.
by the Guo-Krasnoselskii fixed point theorem. We notice that the letter μ in [30,31,32,33] is essentially treated as a constant rather than a parameter, especially it is required to guarantee the nonnegativity of corresponding Green's function in [31,32,33].In fact, when the above μ is a parameter, it is inevitable that it has great influence on the property of Green's function
Through the work of K. Reidemeister, W. Franz, and F. Wecken in the 1930s and early 1940s, Nielsen fixed point theory is given a solid foundation. We then discuss the computational aspect of the Nielsen number, in particular the Reidemeister trace. Applications to low di- mensional dynamics will also be discussed.
Krasnoselskii-type fixed point theorem in ordered Banach spaces and application to integral equations Article Jan 2022 Abdelhamid Benmezai View This theorem plays an important role in
In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Banach contraction mapping principle. Two examples are given to illustrate our theoretical results.
2 Fixed Point Theory and Applications Krasnoselskii's theorem has two parts to be described in Section 2 . The first part, called the compressive form, bears resemblance to the Brouwer-Schauder theorem. In fact, in a recent paper 8 , we show that the former is a special case of a generalized Brouwer-Schauder theorem.
In [], Krasnoselskii established the following celebrated fixed point theorem for a combination of a contraction and a compact operator to study the inversion of a perturbed differential operators.Theorem 1.1. Let M be a nonempty closed convex subset of a Banach space (B, (Vert cdot Vert )).Suppose that A and T map M into B, such that (i) (Ax + Ty in M) for any (x,; y, in M);
Krasnoselsii's fixed point theorem for general classes of maps Authors: Donal O ' Regan Naseer Shahzad King Abdulaziz University Abstract A new Krasnoselskii fixed point result is presented
By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generaliza