Erdal Karapinar's Books

Fixed Point Theory in Generalized Metric Spaces

By: Erdal Karapinar,Ravi P. Agarwal

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Fixed Point Theory in Generalized Metric Spaces

By: Erdal Karapinar,Ravi P. Agarwal

This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.

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Page Count

141

Publisher

Springer Nature

Published Date

ISBN 10

3031149696

ISBN 13

9783031149696

Advanced Topics in Fractional Differential Equations

A Fixed Point Approach

By: Mouffak Benchohra,Erdal Karapinar,Jamal Eddine Lazreg,Abdelkrim Salim

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Advanced Topics in Fractional Differential Equations

A Fixed Point Approach

By: Mouffak Benchohra,Erdal Karapinar,Jamal Eddine Lazreg,Abdelkrim Salim

This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical and new fixed point theorems, associated with the measure of noncompactness in Banach spaces as well as several generalizations of the Gronwall's lemma, are employed as tools. The book is based on many years of research in this area, and provides suggestions for further study as well. The authors have included illustrations in order to support the readers’ understanding of the concepts presented. Includes illustrations in order to support readers understanding of the presented concepts · Approaches the topic of fractional differential equations while employing fixed point theorems as tools · Presents novel results, which build upon previous literature and many years of research by the authors

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Page Count

190

Publisher

Springer Nature

Published Date

ISBN 10

3031269284

ISBN 13

9783031269288

Fixed Point Theory in Metric Type Spaces

By: Ravi P. Agarwal,Erdal KARAPINAR,Donal O’Regan,Antonio Francisco Roldán-López-de-Hierro

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Fixed Point Theory in Metric Type Spaces

By: Ravi P. Agarwal,Erdal KARAPINAR,Donal O’Regan,Antonio Francisco Roldán-López-de-Hierro

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

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Page Count

395

Publisher

Springer

Published Date

ISBN 10

331924082X

ISBN 13

9783319240824

Fractional Differential Equations

New Advancements for Generalized Fractional Derivatives

By: Mouffak Benchohra,Erdal Karapınar,Jamal Eddine Lazreg,Abdelkrim Salim

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Fractional Differential Equations

New Advancements for Generalized Fractional Derivatives

By: Mouffak Benchohra,Erdal Karapınar,Jamal Eddine Lazreg,Abdelkrim Salim

This book covers problems involving a variety of fractional differential equations, as well as some involving the generalized Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations based on the most recent research in the area. The book discusses the classic and novel fixed point theorems related to the measure of noncompactness in Banach spaces and explains how to utilize them as tools. The authors build each chapter upon the previous one, helping readers to develop their understanding of the topic. The book includes illustrated results, analysis, and suggestions for further study.

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Page Count

197

Publisher

Springer Nature

Published Date

ISBN 10

303134877X

ISBN 13

9783031348778

Fixed Point Theory in Generalized Metric Spaces

By: Erdal Karapinar,Ravi P. Agarwal

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Fixed Point Theory in Generalized Metric Spaces

By: Erdal Karapinar,Ravi P. Agarwal

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Solve jigsaw puzzle

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Page Count

141

Publisher

Springer Nature

Published Date

ISBN 10

3031149696

ISBN 13

9783031149696

Fixed Point Theory in Metric Type Spaces

By: Ravi P. Agarwal,Erdal KARAPINAR,Donal O’Regan,Antonio Francisco Roldán-López-de-Hierro

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Fixed Point Theory in Metric Type Spaces

By: Ravi P. Agarwal,Erdal KARAPINAR,Donal O’Regan,Antonio Francisco Roldán-López-de-Hierro

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Solve jigsaw puzzle

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Page Count

395

Publisher

Springer

Published Date

ISBN 10

331924082X

ISBN 13

9783319240824

Book's by Erdal Karapinar

Fixed Point Theory in Generalized Metric Spaces

Fixed Point Theory in Generalized Metric Spaces

Advanced Topics in Fractional Differential Equations

Advanced Topics in Fractional Differential Equations

Fixed Point Theory in Metric Type Spaces

Fixed Point Theory in Metric Type Spaces

Fractional Differential Equations

Fractional Differential Equations

Fixed Point Theory in Generalized Metric Spaces

Fixed Point Theory in Generalized Metric Spaces

Fixed Point Theory in Metric Type Spaces

Fixed Point Theory in Metric Type Spaces

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