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Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

  • Józef Banaś
  • Mohamed Jleli
  • Mohammad Mursaleen
  • Bessem Samet
  • Calogero Vetro

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Mohammad Mursaleen, Syed M. H. Rizvi, Bessem Samet
    Pages 59-125
  3. Eberhard Malkowsky, Vladimir Rakočević
    Pages 127-180
  4. I. J. Cabrera, J. Harjani, B. López, K. B. Sadarangani
    Pages 181-214
  5. Agnieszka Chlebowicz, Mohamed-Aziz Taoudi
    Pages 247-296
  6. Calogero Vetro, Francesca Vetro
    Pages 297-331
  7. Saïd Abbas, Mouffak Benchohra, Johnny Henderson
    Pages 375-391
  8. Back Matter
    Pages 485-487

About this book

Introduction

This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book’s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus.

Keywords

Noncompactness Integral equations Differential equations Fixed Points Banach Space

Editors and affiliations

  • Józef Banaś
    • 1
  • Mohamed Jleli
    • 2
  • Mohammad Mursaleen
    • 3
  • Bessem Samet
    • 4
  • Calogero Vetro
    • 5
  1. 1.Department of Nonlinear AnalysisRzeszów University of TechnologyRzeszówPoland
  2. 2.Department of MathematicsKing Saud UniversityRiyadhSaudi Arabia
  3. 3.Department of MathematicsAligarh Muslim UniversityAligarhIndia
  4. 4.Department of MathematicsKing Saud UniversityRiyadhSaudi Arabia
  5. 5.Dipartimento di Matematica e InformaticaUniversity of PalermoPalermoItaly

Bibliographic information

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