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 34 Citations 5,837 393 World Ranking 1557 National Ranking 6

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Real number
  • Hilbert space

His primary areas of investigation include Fixed point, Variational inequality, Discrete mathematics, Applied mathematics and Iterative method. His studies in Fixed point integrate themes in fields like Weak convergence, Banach space, Mathematical optimization and Hilbert space. His Banach space study results in a more complete grasp of Pure mathematics.

His work carried out in the field of Pure mathematics brings together such families of science as Topological index, Convex function, Equilibrium problem and Projection. The concepts of his Variational inequality study are interwoven with issues in Nonlinear system, Combinatorics and Regular polygon. His Discrete mathematics research focuses on Type and how it connects with Common fixed point, Uniqueness, Fixed-point theorem and Functional equation.

His most cited work include:

  • Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces (280 citations)
  • Common fixed points of compatible maps of type (b) on fuzzy metric spaces (104 citations)
  • Approximation of common solutions of variational inequalities via strict pseudocontractions (93 citations)

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

Shin Min Kang mostly deals with Discrete mathematics, Fixed point, Mathematical analysis, Pure mathematics and Applied mathematics. Discrete mathematics is frequently linked to Type in his study. The Fixed point study combines topics in areas such as Differential geometry, Weak convergence, Hilbert space and Regular polygon.

He has researched Mathematical analysis in several fields, including Monotone polygon and Nonlinear system. Banach space is the focus of his Pure mathematics research. His Applied mathematics study combines topics from a wide range of disciplines, such as Iterative method, Mathematical optimization, Sequence and Uniqueness.

He most often published in these fields:

  • Discrete mathematics (32.38%)
  • Fixed point (30.19%)
  • Mathematical analysis (26.14%)

What were the highlights of his more recent work (between 2017-2021)?

  • Pure mathematics (31.37%)
  • Combinatorics (10.62%)
  • Convex function (5.23%)

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

Shin Min Kang mainly investigates Pure mathematics, Combinatorics, Convex function, Degree and Hadamard transform. His study in the field of Fixed-point theorem also crosses realms of Convexity. His Convex function research incorporates themes from Domain, Connection, Mittag-Leffler function and Applied mathematics.

His Degree research includes elements of Rectangle, Molecular graph and Topology. The study incorporates disciplines such as Function and Inequality in addition to Hadamard transform. His biological study spans a wide range of topics, including Fixed point and Numerical analysis.

Between 2017 and 2021, his most popular works were:

  • Generalized Riemann-Liouville $k$ -Fractional Integrals Associated With Ostrowski Type Inequalities and Error Bounds of Hadamard Inequalities (43 citations)
  • Bounds of Riemann-Liouville Fractional Integrals in General Form via Convex Functions and Their Applications (30 citations)
  • M-Polynomials And Topological Indices Of Zigzag And Rhombic Benzenoid Systems (29 citations)

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

  • Mathematical analysis
  • Real number
  • Algebra

Shin Min Kang focuses on Pure mathematics, Convex function, Degree, Hadamard transform and Topology. His biological study deals with issues like Topological index, which deal with fields such as Discrete mathematics. His Degree research is multidisciplinary, incorporating perspectives in Structure, Geometry and Carbon nanocone.

His Hadamard transform study incorporates themes from Hermite polynomials, Regular polygon, Function, Differentiable function and Inequality. His Topology study combines topics in areas such as Atom and Carbon nanotube. As part of one scientific family, Shin Min Kang deals mainly with the area of Mittag-Leffler function, narrowing it down to issues related to the Hermite–Hadamard inequality, and often Applied mathematics.

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

Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

Xiaolong Qin;Yeol Je Cho;Shin Min Kang.
Journal of Computational and Applied Mathematics (2009)

397 Citations

Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in banach spaces

S.S Chang;Y.J Cho;B.S Lee;J.S Jung.
Journal of Mathematical Analysis and Applications (1998)

245 Citations

Common fixed points of compatible maps of type (b) on fuzzy metric spaces

Y. J. Cho;H. K. Pathak;S. M. Kang;J. S. Jung.
Fuzzy Sets and Systems (1998)

171 Citations

Fixed point theorems for compatible mappings of type (P) and applications to dynamic programming

H. K. Pathak;Y. J. Cho;S. M. Kang;B. S. Lee.
Le Matematiche (1995)

148 Citations

Coincidence point theorems and minimization theorems in fuzzy metric spaces

S. S. Chang;Y. J. Cho;B. S. Lee;J. S. Jung.
Fuzzy Sets and Systems (1997)

124 Citations

Approximation of common solutions of variational inequalities via strict pseudocontractions

Sun Young Cho;Shin Min Kang.
Acta Mathematica Scientia (2012)

123 Citations

Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Yonghong Yao;Yeong-Cheng Liou;Shin Min Kang.
Computers & Mathematics With Applications (2010)

122 Citations

Fixed point theorems for mappings satisfying contractive conditions of integral type and applications

Zeqing Liu;Xin Li;Shin Min Kang;Sun Young Cho.
Fixed Point Theory and Applications (2011)

121 Citations

On hybrid projection methods for asymptotically quasi-φ-nonexpansive mappings

Xiaolong Qin;Sun Young Cho;Shin Min Kang.
Applied Mathematics and Computation (2010)

107 Citations

Convergence of a modified Halpern-type iteration algorithm for quasi-ϕ-nonexpansive mappings

Xiaolong Qin;Yeol Je Cho;Shin Min Kang;Haiyun Zhou.
Applied Mathematics Letters (2009)

107 Citations

Best Scientists Citing Shin Min Kang

Poom Kumam

Poom Kumam

King Mongkut's University of Technology Thonburi

Publications: 84

Yeol Je Cho

Yeol Je Cho

Gyeongsang National University

Publications: 71

Jen-Chih Yao

Jen-Chih Yao

National Sun Yat-sen University

Publications: 44

Xiaolong Qin

Xiaolong Qin

Hangzhou Normal University

Publications: 29

Ravi P. Agarwal

Ravi P. Agarwal

Texas A&M University – Kingsville

Publications: 25

Yonghong Yao

Yonghong Yao

Tianjin Polytechnic University

Publications: 24

Mujahid Abbas

Mujahid Abbas

University of Pretoria

Publications: 21

Nawab Hussain

Nawab Hussain

King Abdulaziz University

Publications: 19

M. De la Sen

M. De la Sen

University of the Basque Country

Publications: 18

Naseer Shahzad

Naseer Shahzad

King Abdulaziz University

Publications: 17

Muhammad Aslam Noor

Muhammad Aslam Noor

COMSATS University Islamabad

Publications: 16

Qamrul Hasan Ansari

Qamrul Hasan Ansari

Aligarh Muslim University

Publications: 15

Stojan Radenović

Stojan Radenović

University of Belgrade

Publications: 12

Erdal Karapınar

Erdal Karapınar

Çankaya University

Publications: 12

Donal O'Regan

Donal O'Regan

National University of Ireland, Galway

Publications: 10

Charles E. Chidume

Charles E. Chidume

African Institute of Science and Technology

Publications: 10

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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