https://dspace.ctu.edu.vn/jspui/handle/123456789/63337 Thu, 12 Mar 2026 10:41:23 GMT 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. Wed, 01 Jan 2020 00:00:00 GMT https://dspace.ctu.edu.vn/jspui/handle/123456789/100898 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. Wed, 01 Jan 2020 00:00:00 GMT https://dspace.ctu.edu.vn/jspui/handle/123456789/100897 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. Wed, 01 Jan 2020 00:00:00 GMT https://dspace.ctu.edu.vn/jspui/handle/123456789/100895 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. Wed, 01 Jan 2020 00:00:00 GMT https://dspace.ctu.edu.vn/jspui/handle/123456789/100893 2020-01-01T00:00:00Z