Browsing by Author "Usamot, I. F."
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Item Application of Tropical Geometry on Subsemigroup of Order-Preserving Full Transformation.(Science Association of Nigeria., 2018) Bakare, G. N.; Ibrahim, G. R.; Usamot, I. F.; Ahmed, B. M.This work ties together the tropical geometry and semigroup. We applied tropical geometry on subsemigroup of order-preserving full transformation (OTn) by degenerating the elements of classical algebra into tropical algebra in which the multiplicities were deduced through their tropical curves.Item Characterization of Signed Symmetric Group in Inner Product Spaces(Adamawa State University, 2019) Usamot, I. F.; Rauf, K.; Bakare, G. N.; Ibrahim, G. R.This paper provides some characterizations of signed symmetric group (SSn) using the notion of orthogonality in inner product spaces. The concepts of ortho-stochastic and reflection were introduced on SSn and results were established with some examples.Item Fixed Point with Compatible Function on Semigroup of Linear Operator(Mathematical Association of Nigeria, 2019) Yussuff, A. A.; Ajisope, M. O.; Zubair, O. R.; Usamot, I. F.; Rauf, K.This paper consists of fixed point results on ω-order preserving partial contraction mapping as a weakly compatible function. Moreover, the results are established as semigroup of linear operator.Item On Idempotent of Some Orders-Preserving Full Contraction Mappings in Metric Spaces.(Department of Science Education, Federal University of Technology, Minna, Nigeria., 2017) Rauf, K.; Usamot, I. F.This paper discuss fixed point theorems on the idempotents of Order-Preserving Full Contraction Mappings E(OCTn) with property P and Q in metric spaces using Picard iterative scheme.Item On Sum Criterion for the Existence of Some Iterative methods.(Nigerian Association of Mathematical Physics., 2015) Rauf, K.; Wahab, O. T.; Omolehin, J. O.; Abdullahi, I.; Zubair, O. R.; Alata, S. M.; Usamot, I. F.; Sanusi, A. O.In this paper, we evoke an existence for two iterative methods of the system of linear equations. Our results agree with existing results and suggest a strong procedural condition for the convergence of the system of linear equations.Item Tropicalization of idempotent elements on full transformation semigroup.(Faculty of Science, Federal University Lokoja, Kogi State Nigeria., 2018) Usamot, I. F.; Bakare, G. N.; Ahmed, B. M.This paper consists of exposition for tropical geometry and its applications on Idempotent elements in Semigroup of Full Transformation E(Tn). We started the exposition with classical algebra into tropical algebra and shown how tropical curves degenerate tropical polynomial in E(Tn).