Fixed points of nonlinear operators

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August undefined, 2024

WebMar 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. 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...

Three positive fixed points of nonlinear operators on …

WebIn this paper, we will present fixed point theorems for singlevalued and multivalued operators in spaces endowed with vector-valued metrics, as well as a Gnana Bhaskar-Lakshmikantham-type theorem for the coupled fixed point problem, associated to a pair of singlevalued operators (satisfying a generalized mixed monotone property) in ordered … 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 ... incorrect trim line causes

Fixed points of some nonlinear operators in spaces of …

WebDec 1, 2024 · In this article, we present an approach to solve a wide range of nonlinear equations formulated in extended b-metric spaces based on a new fixed-point theorem on these spaces. This research effort was motivated by challenges arising in solving pattern problems efficiently that can not be addressed by using standard metric spaces. Our … WebThe Browder fixed-point theorem is a refinement of the Banach fixed-point theorem for uniformly convex Banach spaces. It asserts that if is a nonempty ... Felix E. Browder, Nonexpansive nonlinear operators in a Banach space. Proc. Natl. Acad. Sci. U.S.A. 54 (1965) 1041–1044; WebSep 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 inclination\\u0027s vm

Fixed Points of Nonlinear Operators: Iterative …

Fixed point theorems for a class of nonlinear operators in Hilbert ...

WebApr 28, 2024 · In this paper we continue those investigations by proving a fixed point result for a class of nonlinear operators acting on some spaces of set-valued mappings and … 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 … incorrect uber chargeWebOct 1, 1976 · Moreover, solvability and bifurcation problems for fixed point equations depending nonlinearly on a real parameter are investigated. In order to demonstrate the importance of the abstract... incorrect type for parameter

"WebDec 17, 2013 · In recent years, many mathematicians have studied a fixed point theorem of nonlinear operators in an ordered Banach space by using topological methods and … " - Fixed points of nonlinear operators

Fixed points of nonlinear operators

Nonlinear Operators, Fixed-Point Theorems, Nonlinear …

WebApr 10, 2024 · The goal of this manuscript is to introduce the JK iterative scheme for the numerical reckoning of fixed points in generalized contraction mappings. Also, … 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 …

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WebJan 1, 2006 · Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. WebJan 1, 2001 · Theorem 2.7. [1] Let P be a cone in the real Banach space B. Suppose α and γ are increasing, nonnegative continuous functionals on P and θ is nonnegative …

WebJun 11, 2024 · Let \((X, \left\langle \cdot \right\rangle )\) be a Hilbert space and \(T:X\rightarrow X\) be a decreasing operator. Under a metric condition involving the convex combination of x and T(x), we will prove some fixed point theorems which generalize and complement several results in the theory of nonlinear operators.Our results are closely … WebJan 5, 2024 · In this paper, using the classic Banach fixed point theorem, we study the nonlinear complementarity problem for a class of monotone operators in real Hilbert space. 5e1c39c9299bf10bc3a954...

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 … WebThe 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 …

WebIn this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a …

WebIn this work, we concern ourselves with the problem of solving a general system of variational inequalities whose solutions also solve a common fixed-point problem of a family of countably many nonlinear operators via a hybrid viscosity implicit iteration method in 2 uniformly smooth and uniformly convex Banach spaces. An application to common … incorrect usage of constant udfWebOct 27, 2024 · A General Iterative Scheme for Fixed Points of Nonlinear Operators. ABSTRACT This thesis examines a general iterative scheme for fixed points of nonlinear operators using the special cases of the Krasnoselskii-Mann (KM) iterative procedure for particular choices of the nonexpansive operator N. inclination\\u0027s vtWebThe objective of the research article is two-fold. Firstly, we present a fixed point result in the context of triple controlled metric type spaces with a distinctive contractive condition involving the controlled functions. Secondly, we consider an initial value problem associated with a nonlinear Volterra–Fredholm integro-dynamic equation and examine the … inclination\\u0027s vwWebThe existence of multiple positive fixed points of completely continuous nonlinear operators defined on the cone of an ordered Banach space is considered. The main … incorrect tracking number inclination\\u0027s vrWebJun 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... inclination\\u0027s vgWebAug 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. … inclination\\u0027s vl