In this article, we establish some fixed point results of Krasnoselskii type for the sum T + S, where S is weakly continuous and T may not be continuous. Some of the main results complement and encompass the previous ones. As an application, we study the existence of solution to one parameter operator equations. Finally, our results are used to prove the existence of solution for integral equat...

*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract 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 Ban...

this paper studies the existence of solutions for acoupled system of nonlinear fractional differential equations. newexistence and uniqueness results are established using banach fixedpoint theorem. other existence results are obtained using schaeferand krasnoselskii fixed point theorems. some illustrative examplesare also presented.

The paper consider positive solutions for second-order four-point boundary value problem u′′(t) + f(t, u, u′) = 0, t ∈ (0, 1) u(0) = αu(η), u(1) = βu(ξ) where the first order derivative is involved in the nonlinear term explicitly. By using Krasnoselskii fixed point theorem and triple fixed point theorem, we show the existence, multiplicity of positive solutions for the problem. Some examples a...

This article concerns the solvability of the higher-order nonlinear neutral delay difference equation ∆ “ akn . . .∆ ` a2n∆(a1n∆(xn + bnxn−d)) ́” + s X j=1 pjnfj(xn−rjn ) = qn, where n ≥ n0 ≥ 0, d, k, j, s are positive integers, fj : R → R and xfj(x) ≥ 0 for x 6= 0. Sufficient conditions for the existence of non-oscillatory solutions are established by using Krasnoselskii fixed point theorem. Fi...

Motivated by the study of the propagation of electromagnetic waves through a multi-layered optical medium, we prove the existence of two different kinds of homoclinic solutions to the origin in a Schrödinger equation with a nonlinear term. We use a Krasnoselskii fixed point theorem together with a compactness criterion due to Zima. The main results are illustrated with concrete examples of prac...

Based on the very recent work by Censor-Gibali-Reich [7], we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnoselskii-Mann Theorem for averaged operators, we analyze an algorithm for solving a new split monotone inclusions under weaker conditions. Our results improve and develop previously discu...

In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points pointwise Lipschitzian evolution family bounded nonlinear operators on a Banach space ℜ .