Set-Valued Analysis

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: absolutely continuous in variation; b-metric space; Banach lattice; Bohnenblust–Karlin fixed-point theorem; Chebyshev’s inequality; completely continuous embedding; decomposition of a multifunction; dense embedding; discontinuous function; fractional differential inclusion; fuzzy integration; fuzzy measure space; gauge multivalued integral; Henstock–Kurzweil integrable function; Hölder’s inequality; Hβ-Hausdorff–Pompeiu b-metric; image processing; impulsive problem with variable times; integral inclusion; interval valued (set) multifunction; iterated multifunction system; Kuelbs–Steadman space; Köthe space; Mathematics and Science; maximal monotone operator; multi-valued fractal; non-additive set function; periodic boundary value inclusion; Reference, Information and Interdisciplinary subjects; regulated function; Research and information: general; Riemann-Lebesgue integral; Riemann–Liouville integral; scalarly defined multivalued integral; solution set; Stieltjes derivative; Stieltjes integrals; t-norm; vector measure; Vladimirov pseudo-distance
• ISBN: 3036507841; 9783036507842; 9783036507859; 303650785X
• DOI: 10.3390/books978-3-0365-0785-9

This Special Issue contains eight original papers with a high impact in various domains of set-valued analysis. Set-valued analysis has made remarkable progress in the last 70 years, enriching itself continuously with new concepts, important results, and special applications. Different problems arising in the theory of control, economics, game theory, decision making, nonlinear programming, biomathematics, and statistics have strengthened the theoretical base and the specific techniques of set-valued analysis. The consistency of its theoretical approach and the multitude of its applications have transformed set-valued analysis into a reference field of modern mathematics, which attracts an impressive number of researchers.