D-Index & Metrics Best Publications

D-Index & Metrics

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 15,680 216 World Ranking 286 National Ranking 5

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Hilbert space
  • Banach space

Wataru Takahashi mainly focuses on Fixed point, Pure mathematics, Hilbert space, Mathematical analysis and Discrete mathematics. His biological study spans a wide range of topics, including Monotone polygon, Weak convergence, Fixed-point theorem, Variational inequality and Lipschitz continuity. In the subject of general Pure mathematics, his work in Banach space is often linked to Theoretical computer science, thereby combining diverse domains of study.

His Banach space study incorporates themes from Type, Combinatorics and Resolvent. His research investigates the connection between Hilbert space and topics such as Monotonic function that intersect with problems in Limit of a sequence, Convex function and Semigroup. Wataru Takahashi frequently studies issues relating to Iterative method and Mathematical analysis.

His most cited work include:

  • Nonlinear Functional Analysis (854 citations)
  • Strong Convergence of a Proximal-Type Algorithm in a Banach Space (525 citations)
  • Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces (513 citations)

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

His primary scientific interests are in Discrete mathematics, Pure mathematics, Fixed point, Banach space and Hilbert space. His Discrete mathematics course of study focuses on Monotone polygon and Monotonic function. The Pure mathematics study combines topics in areas such as Mathematical analysis, Weak convergence and Convex analysis.

His Mathematical analysis research is multidisciplinary, relying on both Countable set and Type. His Fixed point research incorporates themes from Variational inequality, Applied mathematics and Regular polygon. His Hilbert space research integrates issues from Iterative method, Equilibrium problem and Theory of computation.

He most often published in these fields:

  • Discrete mathematics (63.81%)
  • Pure mathematics (60.07%)
  • Fixed point (60.82%)

What were the highlights of his more recent work (between 2010-2021)?

  • Hilbert space (46.27%)
  • Pure mathematics (60.07%)
  • Fixed point (60.82%)

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

His primary areas of study are Hilbert space, Pure mathematics, Fixed point, Discrete mathematics and Banach space. His Hilbert space study combines topics in areas such as Variational inequality, Type, Monotone polygon and Weak convergence. In his study, Modes of convergence is inextricably linked to Mathematical analysis, which falls within the broad field of Pure mathematics.

His work on Equilibrium problem as part of general Fixed point research is frequently linked to Projection method, bridging the gap between disciplines. His Regular polygon research extends to the thematically linked field of Discrete mathematics. His work in the fields of Banach space, such as Eberlein–Šmulian theorem, overlaps with other areas such as Null point.

Between 2010 and 2021, his most popular works were:

  • The shrinking projection method for a finite family of demimetric mappings with variational inequality problems in a Hilbert space (48 citations)
  • Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces (42 citations)
  • Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces (42 citations)

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.

Best Publications

Nonlinear Functional Analysis

W. Takahashi.
Fixed Point Theory and its Applications (2000)

1355 Citations

Strong Convergence of a Proximal-Type Algorithm in a Banach Space

Shoji Kamimura;Wataru Takahashi.
Siam Journal on Optimization (2002)

822 Citations

Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups

Kazuhide Nakajo;Wataru Takahashi.
Journal of Mathematical Analysis and Applications (2003)

791 Citations

Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces

Satoru Takahashi;Wataru Takahashi.
Journal of Mathematical Analysis and Applications (2007)

790 Citations

Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings

W. Takahashi;M. Toyoda.
Journal of Optimization Theory and Applications (2003)

784 Citations

Fixed point theorems for multivalued mappings on complete metric spaces

Noriko Mizoguchi;Wataru Takahashi.
Journal of Mathematical Analysis and Applications (1989)

515 Citations

A strong convergence theorem for relatively nonexpansive mappings in a Banach space

Shin-ya Matsushita;Wataru Takahashi.
Journal of Approximation Theory (2005)

500 Citations

Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

Wataru Takahashi;Naoki Shioji.
Proceedings of the American Mathematical Society (1997)

479 Citations

Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space

Koji Aoyama;Yasunori Kimura;Wataru Takahashi;Masashi Toyoda.
Nonlinear Analysis-theory Methods & Applications (2007)

451 Citations

NONCONVEX MINIMIZATION THEOREMS AND FIXED POINT THEOREMS IN COMPLETE METRIC SPACES

Osamu Kada;Tomonari Suzuki;Wataru Takahashi.
Mathematica japonicae (1996)

444 Citations

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

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