An international community of experts scientists comprise the research and survey contributions in this volume which covers a broad spectrum of areas in which analysis plays a central role. Contributions discuss theory and problems in real and complex analysis, functional analysis, approximation theory, operator theory, analytic inequalities, the Radon transform, nonlinear analysis, and various applications of interdisciplinary research; some are also devoted to specific applications such as the three-body problem, finite element analysis in fluid mechanics, algorithms for difference of monotone operators, a vibrational approach to a financial problem, and more.
This volume is useful to graduate students and researchers working in mathematics, physics, engineering, and economics.
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Exact solution to systems of linear first-order integro-differential equations with multipoint and integral conditions (Baiburin and Providas).- A variational approach to the financial problem with insolvencies and analysis of the contagion (Daniele et al.).- Local Fixed Point Theorems in Generalized B-Metric Spaces (Czerwik and Jozwik).- Inequalities and Approximations for the Finite Hilbert Transform: a Survey of Recent Results (Dragomir).- On hyperstability of the two-variable Jensen functional equation on restricted domain (EL-Fassi).- On the Study of Circuit Chains Associated with a Random Walk with Jumps in Fixed, Random Environments: Criteria of Recurrence and Transience (Ganatsiou).- On selections of some generalized set-valued inclusions (Rassias et al.).- Certain fractional integral and differential formulas involving the extended incomplete generalized hypergeometric function (Agarwal et al.).- On the stability of the triangular equilibrium points in the elliptic restricted three–body problem with radiation and oblateness (Kalantonis et al.).- Some different type integral inequalities and their applications (Kashuri and Liko).- Extensions of Kannappan’s and Van Vleck’s functional equations on semigroups (Elhoucien et al.).- Recent Advances of Convexity Theory and its Inequalities (Jichang).- Additive functional inequalities and partial multipliers in complex Banach algebras (Lee et al.).- Additive ρ-functional inequalities and their applications (Park et al.).- Graphic contraction principle and applications (Petrusel and Rus).- A new approach for the inversion of the attenuated Radon transform (Protonotarios et al.).- On algorithms for difference of monotone operators (Cattani et al.).- Finite Element Analysis in Fluid Mechanics (Xenos et al.).- On a Hilbert-Type Integral Inequality in the Whole Plane Related to the Extended Riemann Zeta Function (Rassias and Yang).- On metric structures of normed gyrogroups (Suksumran).- Birelator spaces are natural generalizations of not only bitopological spaces, but also ideal topological spaces (Szaz).- PPF dependent fixed points in Razumikhin metrical chains (Turinici).- Equivalent Properties of Parameterized Hilbert-Type Integral Inequalities (Yang).- Trotter product formula for non-self-adjoint Gibbs semigroups (Zagrebnov).
Giới thiệu về tác giả
Themistocles M. Rassias is professor of mathematics at the National Technical University of Athens. Rassias’ work has received a number of honors and awards and is credited in mathematical terminology, as Hyers–Ulam–Rassias stability for functional equations & the Aleksandrov–Rassias problem for isometric mappings. He has published as author or editor several books and volumes by Springer as well as serves as an editorial board member of several journals. His research interests include nonlinear analysis, global analysis, approximation theory, functional analysis, functional equations, analytic inequalities, metric geometry and their applications. Rassias received his Ph D in mathematics from the University of California, Berkeley in 1976; his thesis advisor was Stephen Smale and his academic advisory was Shiing-Shen Chern.
Panos M. Pardalos serves as distinguished professor of industrial and systems engineering at the Universityof Florida. Additionally, he is the Paul and Heidi Brown Preeminent Professor of industrial and systems engineering. Pardalos is also an affiliated faculty member of the computer and information science department, the Hellenic Studies Center, and the biomedical engineering program. Additionally, he serves as the director of the Center for Applied Optimization. Pardalos is a world leading expert in global and combinatorial optimization. His recent research interests include network design problems, optimization in telecommunications, e-commerce, data mining, biomedical applications, and massive computing. Pardalos is a prolific author who lectures all over the world. He is the recipient of a multitude of fellowships and awards, the most recent of which is the Humboldt Research Award (2018).
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