https://dspace.ctu.edu.vn/jspui/handle/123456789/63337 2026-03-12T10:41:23Z https://dspace.ctu.edu.vn/jspui/handle/123456789/100898 Title: Characterization of multipliers on hypergroups Authors: Kumar, Vishvesh; Kumar, N. Shravan; Sarma, Ritumoni Abstract: Let K be a hypergroup. We characterize translation invariant operators from a vector-valued L¹-space to a vector-valued Lᵖ-space defined on K. Furthermore, for a commutative compact hypergroup A. we introduce and study the notion of character convolution transform of a Banach L¹(K)-module M. Several characterizations of multipliers on M are given. We also prove an analogue of the Schoenberg-Eberlein theorem for the character convolution transform. 2020-01-01T00:00:00Z https://dspace.ctu.edu.vn/jspui/handle/123456789/100897 Title: New algorithms for a class of accretive variational inequalities in Banach spaces Authors: Nguyen, Buong; Dinh, Van Than; Tran, Thi Huong Abstract: In this paper for finding a common zero of a finite family of m-accretive mappings in uniformly convex Banach spaces with a uniformly Gâteaux differentiable norm, we propose an implicit iteration algorithm and an explicit one, based on a convex combination of the steepest descent method and a composition of resolvents. We also show that our main algorithm contains some iterative ones in literature as special cases. Finally, we give numerical examples for illustration. 2020-01-01T00:00:00Z https://dspace.ctu.edu.vn/jspui/handle/123456789/100895 Title: Algebraic dependences of three meromorphic mappings sharing few moving hyperplanes Authors: Si, Duc Quang; Ha, Huong Giang Abstract: In this article, some algebraic dependence theorems for three meromorphic mappings into a projective space sharing few moving hyperplanes are given. Our results are improvements of many previous results in this topic. 2020-01-01T00:00:00Z https://dspace.ctu.edu.vn/jspui/handle/123456789/100893 Title: Implicit monotone difference methods for scalar conservation laws with source terms Authors: Breuß, Michael; Kleefeld, Andreas Abstract: In this article, a concept of implicit methods for sealar conservation laws in one or more spatial dimensions allowing also for source terms of various types is presented. This material is a significant extension of previous work of the first author (Breuß SIAM J. Numer. Anal. 43(3), 970-986 2005). Implicit notions are developed that are centered around a mono- tonicity criterion. We demonstrate a connection between a numerical scheme and a discrete entropy inequality, which is based on a classical approach by Crandall and Majda. Additionally, three implicit methods are investigated using the developed notions. Next, we conduct a convergence proof which is not based on a classical compactness argument. Finally, the theoretical results are confirmed by various numerical tests. 2020-01-01T00:00:00Z