Some Fixed Points Results of Quadratic Functions in Split Quaternions. (19th September 2016)

• Record Type: Journal Article
• Authors: Kwun, Young Chel; Munir, Mobeen; Nazeer, Waqas; Kang, Shin Min
• Other Names: Vetro Pasquale Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-09-19
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/3460257
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We attempt to find fixed points of a general quadratic polynomial in the algebra of split quaternion. In some cases, we characterize fixed points in terms of the coefficients of these polynomials and also give the cardinality of these points. As a consequence, we give some simple examples to strengthen the infinitude of these points in these cases. We also find the roots of quadratic polynomials as simple consequences.