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- Simeon Reich

Mathematics

Israel

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
59
Citations
18,163
440
World Ranking
409
National Ranking
7

2023 - Research.com Mathematics in Israel Leader Award

2022 - Research.com Mathematics in Israel Leader Award

- Mathematical analysis
- Hilbert space
- Real number

The scientist’s investigation covers issues in Banach space, Mathematical analysis, Pure mathematics, Discrete mathematics and Fixed point. His Banach space study frequently involves adjacent topics like Weak convergence. His work carried out in the field of Mathematical analysis brings together such families of science as Iterative method and Monotone polygon.

His research in Pure mathematics intersects with topics in Modes of convergence and Convex function. The study incorporates disciplines such as Metric, Duality, Hilbert space, Ergodic theory and Bounded function in addition to Discrete mathematics. His Fixed point research also works with subjects such as

- Fixed-point theorem that intertwine with fields like Holomorphic function,
- Contraction, which have a strong connection to Complete metric space.

- Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings (1047 citations)
- Weak convergence theorems for nonexpansive mappings in Banach spaces (626 citations)
- Strong convergence theorems for resolvents of accretive operators in Banach spaces (626 citations)

Simeon Reich mainly investigates Pure mathematics, Mathematical analysis, Banach space, Discrete mathematics and Fixed point. His research on Pure mathematics frequently connects to adjacent areas such as Weak convergence. His biological study spans a wide range of topics, including Galerkin method and Nonlinear system.

His Banach space study integrates concerns from other disciplines, such as Semigroup, Convex function and Bounded function. His study connects Regular polygon and Discrete mathematics. His Fixed point course of study focuses on Applied mathematics and Lipschitz continuity and Rate of convergence.

- Pure mathematics (39.14%)
- Mathematical analysis (36.13%)
- Banach space (34.84%)

- Pure mathematics (39.14%)
- Hilbert space (17.85%)
- Fixed point (25.38%)

Simeon Reich spends much of his time researching Pure mathematics, Hilbert space, Fixed point, Applied mathematics and Banach space. His study ties his expertise on Existential quantification together with the subject of Pure mathematics. His Hilbert space research is multidisciplinary, incorporating elements of Projection, Iterative method, Algorithm, Variational inequality and Rate of convergence.

Simeon Reich works mostly in the field of Fixed point, limiting it down to concerns involving Metric space and, occasionally, Curvature. He has researched Applied mathematics in several fields, including Sequence, Weak convergence, Convex function and Lipschitz continuity. His Banach space research is multidisciplinary, incorporating perspectives in Extension, Separable space, Norm, Differential equation and Vector field.

- Outer approximation methods for solving variational inequalities in Hilbert space (34 citations)
- Re-examination of Bregman functions and new properties of their divergences (21 citations)
- Convergence properties of dynamic string-averaging projection methods in the presence of perturbations (21 citations)

- Mathematical analysis
- Hilbert space
- Real number

Simeon Reich mainly focuses on Hilbert space, Applied mathematics, Pure mathematics, Fixed point and Rate of convergence. The concepts of his Hilbert space study are interwoven with issues in Variational inequality and Iterative method, Algebra. His study focuses on the intersection of Applied mathematics and fields such as Lipschitz continuity with connections in the field of Proximal Gradient Methods and Weak convergence.

His Pure mathematics research incorporates elements of Well posedness and Convex geometry. Fixed point is a subfield of Mathematical analysis that Simeon Reich investigates. The Banach space study combines topics in areas such as Iterated function and Domain.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings

Kazimierz Goebel;Simeon Reich.

**(1984)**

1778 Citations

Weak convergence theorems for nonexpansive mappings in Banach spaces

Simeon Reich.

Journal of Mathematical Analysis and Applications **(1979)**

979 Citations

Strong convergence theorems for resolvents of accretive operators in Banach spaces

Simeon Reich.

Journal of Mathematical Analysis and Applications **(1980)**

969 Citations

Fixed points of contractive functions

S. Reich.

Bollettino Della Unione Matematica Italiana **(1972)**

612 Citations

The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space.

Yair Censor;Aviv Gibali;Simeon Reich.

Journal of Optimization Theory and Applications **(2011)**

589 Citations

Some Remarks Concerning Contraction Mappings

Simeon Reich.

Canadian Mathematical Bulletin **(1971)**

561 Citations

Algorithms for the Split Variational Inequality Problem

Yair Censor;Aviv Gibali;Simeon Reich.

Numerical Algorithms **(2012)**

514 Citations

Nonexpansive iterations in hyperbolic spaces

S. Reich;I. Shafrir.

Nonlinear Analysis-theory Methods & Applications **(1990)**

413 Citations

Approximate selections, best approximations, fixed points, and invariant sets

Simeon Reich.

Journal of Mathematical Analysis and Applications **(1978)**

408 Citations

Asymptotic behavior of contractions in Banach spaces

Simeon Reich.

Journal of Mathematical Analysis and Applications **(1973)**

351 Citations

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