Topics in Fixed Point Theory

  • Saleh Almezel
  • Qamrul Hasan Ansari
  • Mohamed Amine Khamsi

Table of contents

  1. Front Matter
    Pages i-xi
  2. Rafael Espínola, Aurora Fernández-León
    Pages 101-158
  3. M. Z. Abu-Sbeih, M. A. Khamsi
    Pages 223-236
  4. Q. H. Ansari, D. R. Sahu
    Pages 273-300
  5. Back Matter
    Pages 301-304

About this book

Introduction

The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland’s variational principle.

Keywords

Banach contraction theorem Ekeland variational principle Ky Fan and Kakutani theorems Lefschetz and Nielsen theories fixed point theory hyperconvex metric spaces iterative methods modular function spaces

Editors and affiliations

  • Saleh Almezel
    • 1
  • Qamrul Hasan Ansari
    • 2
  • Mohamed Amine Khamsi
    • 3
  1. 1.Department of MathematicsUniversity of TabukTabukSaudi Arabia
  2. 2.Department of MathematicsAligarh Muslim UniversityAligarhIndia
  3. 3.Department of Mathematical SciencesUniversity of Texas at El PasoEl PasoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01586-6
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-01585-9
  • Online ISBN 978-3-319-01586-6
  • About this book