Contributions in Mathematics and Engineering

In Honor of Constantin Carathéodory

  • Panos M. Pardalos
  • Themistocles M. Rassias

Table of contents

  1. Front Matter
    Pages i-xi
  2. S. Abramovich
    Pages 1-23
  3. Stefan Czerwik, Krzysztof Król
    Pages 69-79
  4. E. D’Amato, E. Daniele, L. Mallozzi
    Pages 81-93
  5. Silvestru Sever Dragomir
    Pages 127-152
  6. El-Sayed El-Hady, Janusz Brzdęk, Wolfgang Förg-Rob, Hamed Nassar
    Pages 153-163
  7. Elhoucien Elqorachi, Youssef Manar, Themistocles M. Rassias
    Pages 165-183
  8. Hiroshi Fujiwara, Saburou Saitoh
    Pages 185-204
  9. Simon Gluzman, Vladimir Mityushev, Wojciech Nawalaniec, Galina Starushenko
    Pages 255-297
  10. Vijay Gupta, Themistocles M. Rassias, Jyoti Sinha
    Pages 299-312
  11. Christina Katsimpiri, Panayotis E. Nastou, Panos M. Pardalos, Yannis C. Stamatiou
    Pages 323-342
  12. Mohamed Akkouchi, Elhoucien Elqorachi, Khalil Sammad
    Pages 377-392
  13. Hamed Nassar, El-Sayed El-Hady
    Pages 393-427
  14. Muhammad Aslam Noor, Themistocles M. Rassias
    Pages 429-441
  15. Muhammad Aslam Noor, Khalida Inayat Noor, Muhammad Uzair Awan, Sabah Iftikhar
    Pages 443-472
  16. Dorian Popa, Georgiana Pugna, Ioan Raşa
    Pages 517-528
  17. Chang-Jian Zhao, Wing-Sum Cheung
    Pages 751-759

About this book


The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information.    ​

Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.   


calculus of variations complex network analysis data mining energy systems optimization theory quasiconvexity superquadracity Jensen inequality Hardy inequalities Kolmogorov result Minkowski functional tensor product Hilbert spaces Kronecker's sum matrix pencil weighted Orlicz space Hyers stability Galois connections Bakhtin metric Ekeland variational principle

Editors and affiliations

  • Panos M. Pardalos
    • 1
  • Themistocles M. Rassias
    • 2
  1. 1.Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA
  2. 2.Department of MathematicsNational Technical Unversity of Athens Department of MathematicsAthensGreece

Bibliographic information