H-Index & Metrics Best Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics D-index 64 Citations 13,243 455 World Ranking 200 National Ranking 2

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Metric space
  • Discrete mathematics

The scientist’s investigation covers issues in Metric space, Discrete mathematics, Fixed-point theorem, Fixed point and Pure mathematics. His Metric space study is associated with Mathematical analysis. When carried out as part of a general Discrete mathematics research project, his work on Kakutani fixed-point theorem, Banach space and Number theory is frequently linked to work in Property, therefore connecting diverse disciplines of study.

His Fixed-point theorem research includes themes of Class and Combinatorics. His Fixed point research integrates issues from State, Uniqueness and Contraction. In his research on the topic of Pure mathematics, Order is strongly related with Type.

His most cited work include:

  • Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications (169 citations)
  • Couple fixed point theorems for nonlinear contractions in cone metric spaces (160 citations)
  • Fixed point theorems for operators on partial metric spaces (157 citations)

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

His main research concerns Metric space, Discrete mathematics, Fixed point, Fixed-point theorem and Pure mathematics. His Convex metric space, Injective metric space and Metric map study, which is part of a larger body of work in Metric space, is frequently linked to Context, bridging the gap between disciplines. His study on Discrete mathematics is mostly dedicated to connecting different topics, such as Metric.

His Fixed point course of study focuses on Differential geometry and Topology. Erdal Karapınar frequently studies issues relating to Class and Fixed-point theorem. The concepts of his Pure mathematics study are interwoven with issues in State, Point, Function and Generalization.

He most often published in these fields:

  • Metric space (76.76%)
  • Discrete mathematics (71.83%)
  • Fixed point (66.90%)

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

  • Pure mathematics (54.69%)
  • Fixed point (66.90%)
  • Metric space (76.76%)

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

Erdal Karapınar mostly deals with Pure mathematics, Fixed point, Metric space, Fixed-point theorem and Type. His studies in Pure mathematics integrate themes in fields like Function, Point and Boundary value problem. His biological study spans a wide range of topics, including Space, Uniqueness and Contraction.

His study on Metric space is covered under Discrete mathematics. His work on Natural number is typically connected to Distance space as part of general Discrete mathematics study, connecting several disciplines of science. His work carried out in the field of Fixed-point theorem brings together such families of science as Generalization, Function space and Metric.

Between 2017 and 2021, his most popular works were:

  • -Meir-Keeler Contraction Mappings in Generalized -Metric Spaces (46 citations)
  • Interpolative Reich–Rus–Ćirić Type Contractions on Partial Metric Spaces (40 citations)
  • Solutions of the Nonlinear Integral Equation and Fractional Differential Equation Using the Technique of a Fixed Point with a Numerical Experiment in Extended b-Metric Space (38 citations)

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

  • Mathematical analysis
  • Real number
  • Metric space

His primary areas of study are Metric space, Pure mathematics, Fixed point, Fixed-point theorem and Type. His Pure mathematics research incorporates themes from Sequent and Extension. His research on Fixed point concerns the broader Mathematical analysis.

His work on Contraction principle as part of general Fixed-point theorem study is frequently connected to Contraction, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. His Type study integrates concerns from other disciplines, such as Combinatorics, Banach fixed-point theorem, Caristi fixed-point theorem, Class and Point. His work investigates the relationship between Contraction and topics such as Uniqueness that intersect with problems in Auxiliary function and Common fixed point theorem.

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

Existence and uniqueness of a common fixed point on partial metric spaces

Thabet Abdeljawad;Erdal Karapinar;Kenan Tas.
Applied Mathematics Letters (2011)

306 Citations

The existence of optimal approximate solution theorems for generalized α -proximal contraction non-self mappings and applications

Erdal Karapınar;Wutiphol Sintunavarat.
Fixed Point Theory and Applications (2013)

259 Citations

Couple fixed point theorems for nonlinear contractions in cone metric spaces

Erdal Karapınar.
Computers & Mathematics With Applications (2010)

257 Citations

Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications

Erdal Karapınar;Bessem Samet.
Abstract and Applied Analysis (2012)

257 Citations

On α-ψ-Meir-Keeler contractive mappings

Erdal Karapınar;Poom Kumam;Peyman Salimi.
Fixed Point Theory and Applications (2013)

251 Citations

Fixed point theorems for operators on partial metric spaces

Erdal Karapınar;İnci M. Erhan.
Applied Mathematics Letters (2011)

249 Citations

A fixed point theorem for set-valued quasi- contractions in b-metric spaces

Hassen Aydi;Monica-Felicia Bota;Erdal Karapınar;Slobodanka Mitrović.
Fixed Point Theory and Applications (2012)

240 Citations

Fixed point theory for cyclic weak ϕ-contraction

Erdal Karapınar.
Applied Mathematics Letters (2011)

230 Citations

A COMMON FIXED POINT FOR WEAK -CONTRACTIONS ON b-METRIC SPACES

Hassen Aydi;Monica-Felicia Bota;Erdal Karapinar;Sirous Moradi.
(2012)

178 Citations

Coupled fixed point results for ( ψ,φ )-weakly contractive condition in ordered partial metric spaces

Hassen Aydi;Erdal Karapınar;Wasfi Shatanawi.
Computers & Mathematics With Applications (2011)

175 Citations

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