Keyword

nonlinear operators

Description: Mappings between mathematical spaces that do not preserve linear combinations, studied in functional analysis, equations, and applied mathematics.

Primary topic: Fixed Point Theorems Analysis (20%)

OpenAlex ID: keywords/nonlinear-operators

Nonlinear Functional Analysis and its Applications

1990 · Eberhard Zeidler · Springer eBooks · 3,716

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

2021 · Lu Lu, Pengzhan Jin, et al. · Nature Machine Intelligence · 3,605

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Positive Solutions of Operator Equations.

1967 · A. R. Brodsky, M. A. Krasnoselskii, et al. · American Mathematical Monthly · 2,114

Splitting Algorithms for the Sum of Two Nonlinear Operators

1979 · P. L. Lions, B. Mercier · SIAM Journal on Numerical Analysis · 1,975

Nonlinear Functional Analysis

1986 · J. F. Toland · Bulletin of the London Mathematical Society · 1,581

Nonlinear Functional Analysis and its Applications

1986 · Eberhard Zeidler · Springer eBooks · 1,361

Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems

1995 · Tianping Chen, Hong Chen · IEEE Transactions on Neural Networks · 1,225

Monotone (nonlinear) operators in Hilbert space

1962 · George J. Minty · Duke Mathematical Journal · 1,136

Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

1996 · Thomas Runst, Winfried Sickel · De Gruyter eBooks · 1,123

Nonlinear Functional Analysis

2000 · Wataru Takahashi · Tokyo Tech Research Repository (Tokyo Institute of Technology) · 956

Nonexpansive Nonlinear Operators in a Banach Space

1965 · Felix E. Browder · Proceedings of the National Academy of Sciences · 950

Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

1971 · M. G. Crandall, T. M. Liggett · American Journal of Mathematics · 909

Nonlinear Functional Analysis and its Applications

1985 · Eberhard Zeidler · Springer eBooks · 842

Variational Methods for the Study of Nonlinear Operators

1966 · E. H. Rothe, M. M. Vainberg, et al. · American Mathematical Monthly · 819

Nonlinear operators and differential equations in Banach spaces

1976 · Robert H. Martin · International Linear Collider · 779

Nonlinear operators and nonlinear equations of evolution in Banach spaces

1976 · Felix E. Browder · Medical Entomology and Zoology · 670

Untitled

1979 · Richard Leggett, Lynn Williams · Indiana University Mathematics Journal · 632

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Measures of Noncompactness and Condensing Operators

1992 · R. R. Akhmerov, M. I. Kamenskii, et al. · Operator theory · 623

A new algorithm for calculating adomian polynomials for nonlinear operators

2000 · Abdul-Majid Wazwaz · Applied Mathematics and Computation · 604

Measures of Noncompactness in Banach Spaces

1981 · N. G. Lloyd · Bulletin of the London Mathematical Society · 560

Nonlinear Functional Analysis and Applications

1971 · Elsevier eBooks · 516

Applications of Functional Analysis and Operator Theory

1980 · Hutson, Vivian, Pym, John S., et al. · Mathematics in Science and Engineering/Mathematics in science and engineering · 428

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Theory and applications of nonlinear operators of accretive and monotone type

1996 · Athanassios G. Kartsatos · 417

Approximation capability to functions of several variables, nonlinear functionals, and operators by radial basis function neural networks

1995 · Tianping Chen, Hong Chen · IEEE Transactions on Neural Networks · 394

Integral functionals, normal integrands and measurable selections

1976 · R. Tyrrell Rockafellar · Lecture notes in mathematics · 376

Works count: 3,453

Citation count: 61,260