H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 59 Citations 17,694 351 World Ranking 281 National Ranking 7

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2016-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2016 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Top Publications

Uniform Convexity, Hyperbolic Geometry, and Nonexpansive Mappings

Kazimierz Goebel;Simeon Reich.
(1984)

1649 Citations

Strong convergence theorems for resolvents of accretive operators in Banach spaces

Simeon Reich.
Journal of Mathematical Analysis and Applications (1980)

971 Citations

Weak convergence theorems for nonexpansive mappings in Banach spaces

Simeon Reich.
Journal of Mathematical Analysis and Applications (1979)

955 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)

429 Citations

Fixed points of contractive functions

S. Reich.
Bollettino Della Unione Matematica Italiana (1972)

420 Citations

Algorithms for the Split Variational Inequality Problem

Yair Censor;Aviv Gibali;Simeon Reich.
Numerical Algorithms (2012)

416 Citations

Some Remarks Concerning Contraction Mappings

Simeon Reich.
Canadian Mathematical Bulletin (1971)

398 Citations

Nonexpansive iterations in hyperbolic spaces

S. Reich;I. Shafrir.
Nonlinear Analysis-theory Methods & Applications (1990)

366 Citations

Asymptotic behavior of contractions in Banach spaces

Simeon Reich.
Journal of Mathematical Analysis and Applications (1973)

345 Citations

Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization

Y. Censor;S. Reich.
Optimization (1996)

322 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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