Results 1 to 10 of about 21,907 (139)
A fixed point theorem for a class of differentiable stable operators in Banach spaces
Fixed Point Theory and Applications, 2006 We study Fréchet differentiable stable operators in real Banach spaces. We present the theory of linear and nonlinear stable operators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators.
Vadim Azhmyakov
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Some convergence results for nonlinear Baskakov-Durrmeyer operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
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Quantitative approximation by nonlinear Angheluta-Choquet singular integrals
Journal of Numerical Analysis and Approximation Theory, 2020 By using the concept of nonlinear Choquet integral with respect to a capacity and as a generalization of the Poisson-Cauchy-Choquet operators, we introduce the nonlinear Angheluta-Choquet singular integrals with respect to a family of submodular set ...
Sorin Gal, Ionut Iancu
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Fixed Point Theory and Applications, 2010 We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new
Özge Özalp Güller +2 more
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On pseudomonotone elliptic operators with functional dependence on unbounded domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We generalize F. E. Browder's results concerning pseudomonotone elliptic partial differential operators defined on unbounded domains. We show that under suitable assumptions, Browder's result holds true if the coefficient functions are functionals of ...
Mihály Csirik
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Numerical Range of Two Operators in Semi-Inner Product Spaces
Abstract and Applied Analysis, 2012 In this paper, the numerical range for two operators (both linear and nonlinear) have been studied in semi-inner product spaces. The inclusion relations between numerical range, approximate point spectrum, compression spectrum, eigenspectrum, and ...
N. K. Sahu, C. Nahak, S. Nanda
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On Dynamics of Quadratic Stochastic Operators
Journal of Basic and Applied Research in Biomedicine, 2022 A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of differing species in biology. Some quadratic stochastic operators have been studied by Lotka and Volterra.
Izzat Qaralleh
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On Dynamics of a class taken from Quadratic Stochastic Operators
Journal of Basic and Applied Research in Biomedicine, 2022 The Quadratic dynamical systems considered as an important source of analysis for the study of dynamical properties and modeling in various fields. A quadratic stochastic operator (in short QSO) is usually used to present the time evolution of species ...
Izzat Qaralleh
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