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Ulam Type Stability

  • Janusz Brzdęk
  • Dorian Popa
  • Themistocles M. Rassias
Book

Table of contents

  1. Front Matter
    Pages i-x
  2. Jacek Chmieliński, Paweł Wójcik
    Pages 57-71
  3. Nguyen Van Dung, Wutiphol Sintunavarat
    Pages 97-130
  4. Paşc Găvruţa, Laura Manolescu
    Pages 153-165
  5. Keltouma Belfakih, Elhoucien Elqorachi, Themistocles M. Rassias
    Pages 167-198
  6. Jung Rye Lee, Choonkil Park, Themistocles M. Rassias
    Pages 199-215
  7. Kallol Paul, Debmalya Sain, Puja Ghosh
    Pages 331-344
  8. Adrian Petruşel, Ioan A. Rus
    Pages 345-364
  9. Stanisław Siudut
    Pages 365-381
  10. László Székelyhidi
    Pages 409-451
  11. Back Matter
    Pages 509-514

About this book

Introduction

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included.

Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.

Keywords

Ulam’s type stability Functional Equations polynomial functional equations differential operators operational equations set-valued mappings fixed point theory functional stability information measures

Editors and affiliations

  • Janusz Brzdęk
    • 1
  • Dorian Popa
    • 2
  • Themistocles M. Rassias
    • 3
  1. 1.Department of Applied MathematicsAGH University of Science and TechnologyKrakowPoland
  2. 2.Department of MathematicsTechnical University of Cluj-NapocaCluj-NapocaRomania
  3. 3.Department of MathematicsNational Technical University of AthensAthensGreece

Bibliographic information