Essays in Mathematics and its Applications

1. Front Matter

   Pages i-viii

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2. A New Way to Compute the Rodrigues Coefficients of Functions of the Lie Groups of Matrices

   • Dorin Andrica, Oana Liliana Chender

   Pages 1-24

3. Quasimodes in Integrable Systems and Semi-Classical Limit

   • M. Baldo, F. Raciti

   Pages 25-47

4. Manifolds Which Are Complex and Symplectic But Not Kähler

   • Giovanni Bazzoni, Vicente Muñoz

   Pages 49-69

5. Solvability of a Nonclamped Frictional Contact Problem with Adhesion

   • O. Chau, D. Goeleven, R. Oujja

   Pages 71-87

6. The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence

   • Alessandro Fortunati, Stephen Wiggins

   Pages 89-99

7. Iterative Methods for the Elastography Inverse Problem of Locating Tumors

   • B. Jadamba, A. A. Khan, F. Raciti, C. Tammer, B. Winkler

   Pages 101-131

8. Transversality Theory with Applications to Differential Equations

   • Dumitru Motreanu, Viorica Venera Motreanu

   Pages 133-157

9. Lattice-like Subsets of Euclidean Jordan Algebras

   • A. B. Németh, S. Z. Németh

   Pages 159-179

10. Simultaneous Diophantine Approximation: Searching for Analogues of Hurwitz’s Theorem

    • Werner Georg Nowak

    Pages 181-197

11. On the Fixed Points of a Hamiltonian Diffeomorphism in Presence of Fundamental Group

    • Kaoru Ono, Andrei Pajitnov

    Pages 199-228

12. Some Generalizations of Fixed-Point Theorems on S-Metric Spaces

    • Nihal Yılmaz Özgür, Nihal Taş

    Pages 229-261

13. Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces

    • Choonkil Park, Jung Rye Lee, Themistocles M. Rassias

    Pages 263-310

14. The Maslov Index in PDEs Geometry

    • Agostino Prástaro

    Pages 311-359

15. On the Infimum of Certain Functionals

    • Biagio Ricceri

    Pages 361-367

16. The Algebra of Gyrogroups: Cayley’s Theorem, Lagrange’s Theorem, and Isomorphism Theorems

    • Teerapong Suksumran

    Pages 369-437

17. Mild Continuity Properties of Relations and Relators in Relator Spaces

    • Árpád Száz, Amr Zakaria

    Pages 439-511

18. Contraction Maps in Pseudometric Structures

    • Mihai Turinici

    Pages 513-562

19. Novel Tools to Determine Hyperbolic Triangle Centers

    • Abraham Albert Ungar

    Pages 563-663

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself. Emphasis is given to topics relating to dynamical systems, stability of integrable systems, algebraic and differential topology, global analysis, singularity theory and classical mechanics. A number of applications of Arnold’s groundbreaking work are presented. This publication will assist graduate students and research mathematicians in acquiring an in-depth understanding and insight into a wide domain of research of an interdisciplinary nature.

• algebraic and differential topology
• classical mechanics
• nonlinear mathematics
• singularity theory
• stability of integrable systems
• Arnold conjecture
• Floer chain complex
• homology with local coefficients
• fundamental group
• augmentation ideal
• exponential map
• Rodrigues coefficients
• Cayley transform
• Rodrigues formula
• extended lattice operations
• variational inequalities
• positive semidefinite cone
• generalized uniformities
• mildly continuous relations

• Department of Mathematics, National Technical Unversity of Athens, Athens, Greece

  Themistocles M. Rassias

• University of Florida, GAINESVILLE, USA

  Panos M. Pardalos

Themistocles M. Rassias is a Professor of Mathematics at National Technical University of Athens. He holds a PhD in Mathematics from the University of California, Berkeley, and has published over fifty books and nearly three hundred journal articles.

Panos M. Pardalos serves as Distinguished Professor of Industrial and Systems Engineering at the University of Florida, as well as the Director of the Center for Applied Optimization. He holds a PhD in Computer and Information Sciences from the University of Minnesota, Minneapolis, and has published nearly twenty books and over four hundred papers. 

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