Second-order mappings obtained as reductions of integrable lattice equations are generally expected to have integrals that are ratios of biquadratic polynomials, i.e., to be of QRT-type. In this paper we find reductions of integrable lattice equations that are not of this type. The mappings we consider are exact reductions of integrable lattice equations proposed by Adler, Bobenko and Suris. Su...

We describe DMSL, a domain specific language for defining schema mappings. Schema mappings are assertions in carefully crafted logics that express constraints between data represented in different formats, including XML and relational schema. DMSL is suitable for representing programs over mappings, which, for instance, occur in dataflow graphs of mappings. DMSL programs of mapping type are sta...

The aim of this paper is to introduce the concepts of compatible mappings and compatible mappings of type (R) in non-Archimedean Menger probabilistic normed spaces and to study the existence problems of common fixed points for compatible mappings of type (R), also, we give an applications by using the main theorems.

*Correspondence: [email protected] 2KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok, 10140, Thailand 3KMUTT-Fixed Point Theory and Applications Research Group (KMUTT-FPTA),...

In this paper we consider the Suzuki curve y + y = x0(x + x) over the field with q = 2 elements. The automorphism group of this curve is known to be the Suzuki group Sz(q) with q(q − 1)(q + 1) elements. We construct AG codes over Fq4 from a Sz(q)-invariant divisor D, giving an explicit basis for the Riemann-Roch space L(lD) for 0 < l ≤ q − 1. These codes then have the full Suzuki group Sz(q) as...

‎‎Many authors such as Amini-Harandi‎, ‎Rezapour ‎et al., ‎Kadelburg ‎et al.‎‎, ‎have tried to find at least one fixed point for quasi-contractions when $alphain[frac{1}{2}‎, ‎1)$ but no clear answer exists right now and many of them either have failed or changed to a lighter version‎. In this paper‎, ‎we introduce some new strict fixed point results in the set of multi-valued '{C}iri'{c}-gener...