ANALYSIS, GEOMETRY, NONLINEAR OPTIMIZATION AND APPLICATIONS

This volume features an extensive account of both research and expository papers in a wide area of engineering and mathematics and its various applications. Topics treated within this book include optimization of control points, game theory, equilibrium points, algorithms, Cartan matrices, integral inequalities, Volterra integro-differential equations, Caristi-Kirk theorems, Laplace type integral operators, etc. This useful reference text benefits graduate students, beginning research engineers and mathematicians as well as established researchers in these domains. Contents: Optimization of Control Points for Controlling the Heating Temperature of a Heating Medium in a Furnace (Vagif Abdullayev) Monotonicity of Averages of Superquadratic and Related Functions (Shoshana Abramovich) Upper and Lower Semicontinuous Relations in Relator Spaces (Santanu Acharjee, Michael Th Rassias, and Árpád Száz) Geometric Realization of Generalized Cartan Matrices of Rank 3 (Abdullah Alazemi, Milica Anđelić, and Kyriakos Papadopoulos) Dynamic Geometry Generated by the Circumcircle Midarc Triangle (Dorin Andrica and Dan Ştefan Marinescu) A Review of LinearizationMethods for Polynomial Matrices and their Applications (E Antoniou, I Kafetzis, and S Vologiannidis) A Game Theory Model for the Award of a Public Tender Procedure (G Colajanni, P Daniele, and D Sciacca) Perov-Type Results for Multivalued Mappings (Marija Cvetković, Erdal Karapinar, Vladimir Rakočević, and Seher Sultan Yeşilkaya) Some Triple Integral Inequalities for Bounded Functions Defined on Three-Dimensional Bodies (Silvestru Sever Dragomir) Generalized Ostrowski and Trapezoid Type-Rules for Approximating the Integral of Analytic Complex Functions on Paths from General Domains (Silvestru Sever Dragomir) Hyperstability of Ternary Jordan Homomorphisms on Unital Ternary C*-Algebras (Madjid Eshaghi Gordji and Vahid Keshavarz) Analytic and Numerical Solutions to Nonlinear Partial Differential Equations in Biomechanics (Anastasios C Felias, Konstantina C Kyriakoudi, Kyriaki N Mpiraki, and Michail A Xenos) Localized Cerami Condition and a Deformation Theorem (Lucas Fresse and Viorica V Motreanu) A Two-phase Problem Related to Phase-change Material (D Goeleven and R Oujja) Motive of the Representation Varieties of Torus Knots for Low Rank Affine Groups (Ángel González-Prieto, Marina Logares, and Vicente Muñoz) Quaternionic Fractional Wavelet Transform (Bivek Gupta, Amit K Verma, and Carlo Cattani) From Variational Inequalities to Singular Integral Operator Theory — A Note on the Lions–Stampacchia Theorem (Joachim Gwinner) Graph Pursuit Games and New Algorithms for Nash Equilibrium Computation (Athanasios Kehagias and Michael Koutsmanis) Geometry in Quantitative Methods and Applications (Christos Kitsos and Stavros Fatouros) Norm Inequalities for Fractional Laplace-Type Integral Operators in Banach Spaces (Jichang Kuang) Hyers–Ulam–Rassias Stability of Functional Equations in G-Normed Spaces (Jung Rye Lee, Choonkil Park, and Themistocles M Rassias) Wavelet Detrended Fluctuation Analysis: Review and Extension to Mixed Cases (Anouar Ben Mabrouk, Mohamed Essaied Hamrita, and Carlo Cattani) Stability of Some Functional Equations on Restricted Domains (Abbas Najati, Mohammad B Moghimi, Batool Noori, and Themistocles M Rassias) System of General Variational Inclusions (Muhammad Aslam Noor, Khalida Inayat Noor, and Michael Th Rassias) Analytical Solution of nth-Order Volterra Integro-Differential Equations of Convolution Type with Non-local Conditions (E Providas and I N Parasidis) Some Families of Finite Sums Associated with Interpolation Functions for many Classes of Special Numbers and Polynomials and Hypergeometric Series (Yilmaz Simsek) Transitive Pseudometric Principles and Caristi–Kirk Theorems (Mihai Turinici) Metrical Coercivity for Monotone Functionals (Mihai Turinici) Motion Around the Equilibrium Points in the Photogravitational R3BP under the Effects of Poynting–Robertson Drag,...