Fixed points of nonlinear operators
WebJan 1, 2024 · This article presents new fixed point theorems for the sum of two operators, the first one being strictly contractive, while the second is convex-power condensing with respect to the first... WebApr 9, 2024 · K. Goebel, W.A. Kirk, A fixed point theorem for asymptotically ... I.K. Agwu and D.I. Igbokwe, Approximation of common fixed points ... F.E. Browder, Convergence theorem for sequence of nonlinear operators in ... F.E. Browder W.V. and Petryshyn, Construction of fixed points of ...
Fixed points of nonlinear operators
Did you know?
WebAug 1, 2001 · Three positive fixed points of nonlinear operators on ordered banach spaces. We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving … Web@article{osti_5564610, title = {Multiple positive fixed points of nonlinear operators on ordered Banach spaces}, author = {Leggett, R W and Williams, L R}, abstractNote = {The existence of multiple positive fixed points of completely continuous nonlinear operators defined on the cone of an ordered Banach space is considered. The main results give …
WebThese are non linear systems and so we need to compute the fixed points at its Jacobian matrix. However, I am not sure on how to do this since I don't know the stability at the … WebAug 15, 2008 · This paper deals with a general fixed point iteration for computing a point in some nonempty closed and convex solution set included in the common fixed point set of a sequence of mappings on a real Hilbert space. The proposed method combines two strategies: viscosity approximations (regularization) and inertial type extrapolation.
WebAug 1, 2001 · We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving conditions that imply the existence of three fixed points of an operator defined on a cone in a Banach space. We then show how to apply our theorem to prove the existence of three positive solutions to a second-order discrete boundary value problem. … WebMoreover we reduce certain general results for the continuous operators acting on Banach spaces, and investigate their image. Here we also consider the existence of a fixed …
WebJun 1, 2024 · It is well known that fixed point theory is a very important tool for solving problems in Nonlinear Functional Analysis and as well as to various theoretical and applied fields such as... harrison hose and tubing incWebSep 27, 2016 · We establish multivalued versions of a Krasnosel’skii-type fixed point theorem for the sum B + G of two operators, where B is a linear or nonlinear operator and G is a multivalued operator. The results extend previous ones of this type. Download to read the full article text References charges for postal ordersWebThe purpose of this work is to construct a robust numerical scheme for a class of nonlinear free boundary identification problems. First, a shape optimization problem is constructed based on a least square functional. Schauder’s fixed point theorem is manipulated to show the existence solution for the state solution. The existence of an optimal solution of the … harrison hornetsWebMay 31, 2024 · Dear Colleagues, Since the celebrated Brouwer’s fixed point theorem and Banach contraction principle were established, the rapid growth of fixed point theory and its applications during the past more than a hundred years have led to a number of scholarly essays that study the importance of its promotion and application in nonlinear analysis, … harrison hornets logoWebMar 3, 2024 · The goal of this manuscript is to introduce a new class of generalized nonexpansive operators, called ( α, β, γ) -nonexpansive mappings. Furthermore, some related properties of these mappings are investigated in a general Banach space. harrison horngren financial accounting pdfWebNov 18, 2024 · The idea of fixed points and stability can be extended to higher-order systems of odes. Here, we consider a two-dimensional system and will need to make use of the two-dimensional Taylor series expansion of a function F(x, y) about the origin. In general, the Taylor series of F(x, y) is given by F(x, y) = F + x∂F ∂x + y∂F ∂y + 1 2(x2∂ ... charges for selling crack pennsylvaniaWebApr 13, 2024 · In this article, you will learn some of the best practices and tips for tuning metaheuristic algorithms, such as how to choose appropriate objective functions, how to design effective search... harrison horngren financial accounting