Musundi W. Sammy

Derivation of Fixed-Point Theorem Using Expansive Mapping Approach

Koech Vincent, Musundi W. Sammy & Kinyanjui Jeremiah · Asian Research Journal of Mathematics · 2023

Application of Fixed-Point Theorem has tremendously increased in different areas of interest and research. Fixed Point Theorem presents that if T:X→X is a contraction mapping on a complete metric space (X, d) then there exists a unique fixed point in X. A lot has been done on app...

Open access Research Article 10.9734/arjom/2023/v19i8692

Transitivity Action of the Cartesian Product of the Alternating Group Acting on a Cartesian Product of Ordered Sets of Triples

Maraka K. Moses, Musundi W. Sammy & Lewis N. Nyaga · Asian Research Journal of Mathematics · 2021

In this paper, we investigate some transitivity action properties of the cartesian product of the alternating group \(A_{n}(n \geq 5)\) acting on a cartesian product of ordered sets of triples using the Orbit-Stabilizer Theorem by showing that the length of the orbit \((p, s, v)...

Open access Research Article 10.9734/arjom/2021/v17i1230348