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Variational inequalities theory has been widely used in many fields, such as economics, physics, engineering, optimization and control, transportation [1, 4]. Like convexity to mathematical programming problem (MP), monotonicity plays an important role in solving variational inequality (VI). To investigate the variational inequality, many kinds of monotone… (More)

- Bangteng Xu
- Des. Codes Cryptography
- 2015

- Bangteng Xu
- 2006

Using covering numbers we prove that a standard real integral table algebra (A, B) with |B| ≥ 6 has a P-polynomial structure with respect to every b = 1 in B if and only if 2|B| − 1 is prime and (A, B) is exactly isomorphic to the Bose-Mesner algebra of the association scheme of the ordinary (2|B| − 1)-gon. Then we present an example showing that this… (More)

- Yun Fan, Bangteng Xu
- Des. Codes Cryptography
- 2017

Let G be a finite abelian group acting faithfully on a finite set X . The G-bentness and G-perfect nonlinearity of functions on X are studied by Poinsot and co-authors (Discret Appl Math 157:1848–1857, 2009; GESTS Int Trans Comput Sci Eng 12:1–14, 2005) via Fourier transforms of functions on G. In this paper we introduce the so-called G-dual set ̂X of X ,… (More)

- Bangteng Xu
- J. Comb. Theory, Ser. A
- 2008

Hanaki [A. Hanaki, Representations of association schemes and their factor schemes, Graphs Combin. 19 (2003) 195–201; A. Hanaki, Characters of association schemes and normal closed subsets, Graphs Combin. 19 (2003) 363–369] generalized many properties of characters of finite groups to characters of association schemes. In this paper we show that many of… (More)

- Bangteng Xu
- J. Comb. Theory, Ser. A
- 2011

- Bangteng Xu
- 2008

Sunder and Wildberger (J. Algebr. Comb. 18, 135–151, 2003) introduced the notion of actions of finite hypergroups, and studied maximal irreducible actions and *-actions. One of the main results of Sunder and Wildberger states that if a finite hypergroup K admits an irreducible action which is both a maximal action and a *action, then K arises from an… (More)

- Sung Y. Song, Bangteng Xu, Shenglin Zhou
- Discrete Mathematics
- 2017

- Kijung Kim, Sung-Yell Song, Bangteng Xu
- Discrete Mathematics
- 2017

- Yun Fan, Bangteng Xu
- Des. Codes Cryptography
- 2017

Let G, H be finite groups and let X be a finite G-set. G-perfect nonlinear functions from X to H have been studied in several papers. They have more interesting properties than perfect nonlinear functions from G itself to H. By introducing the concept of a (G,H)related difference family of X, we obtain a characterization of G-perfect nonlinear functions on… (More)