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S. A. Aniki

Department of Mathematics and Statistics, Confluence University of Science and Technology, Osara, Kogi, Nigeria

4 Publications
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Publications 4

1
Research Article Vol. 32, Issue 2

Fixed Point Theorems with Rational Expressions over a Closed Subset of Hilbert Spaces

S. A. Aniki*, E. E. Aribike, M. Raji, F. Adegboye, K. Rauf

In this paper, we prove the existence and uniqueness of a fixed point for a continuous self- mapping over a closed subset of Hilbert spaces satisfying nonlinear rational contractive-type condition. This result is extended and generalized for some positive integer powers of continuous self-mappings in Hilbert spaces.

DOI: 10.67897/njma.2022.z69ctdch
Dec, 2022 Vol. 32, Issue 2 2 views 2 downloads
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2
Research Article Vol. 32, Issue 2

Tripled Fixed Point Theorems in Partially Ordered G-Metric Space

S. A. Aniki*, M. Raji, F. Adegboye, E. E. Aribike, K. Rauf

Tripled fixed point theorem is an improvement to coupled fixed point. In this manuscript, we prove the existence and uniqueness of tripled fixed point for mixed monotone mapping satisfying nonlinear contractions in the framework of partially ordered G-metric space. Our results generalize and improve some results in the literature. 

DOI: 10.67897/njma.2022.h3cc9y1b
Dec, 2022 Vol. 32, Issue 2 3 views 6 downloads
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3
Research Article Vol. 32, Issue 1

Application of Laplace Beltrami Equation to Solve Vortex Flow in a Closed Cylinder with Dirichlet Boundary Condition

S. O. Momoh*, S. A. Aniki, U. F. Amoo

The guiding equation here happens to be the Laplacian for Cylinder, the equation was obtained by using the known definition of differential operator for Cylindrical coordinates (rho, theta, z), it was then decomposed into three Partial Differential Equation (PDE) by variable separable methods and solved independently to obtain the general solution....

DOI: 10.67897/njma.2022.yw3rpfga
Jun, 2022 Vol. 32, Issue 1 5 views 1 downloads
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4
Research Article Vol. 32, Issue 1

Some Generalizations of Opial-type Inequalities on Time Scales

E. E. Aribike*, O. Anthonio, S. A. Aniki, Kamilu RAUF

Opial-type inequalities has grown into a substantial field with many applications in proving the existence and uniqueness of solutions of initial and boundary value problems for differential equations. We shall obtain Hua’s inequality on time scales The methodology employed in this paper is the H¨older’s inequality for convex functions.

DOI: 10.67897/njma.2022.tl3im48l
Jun, 2022 Vol. 32, Issue 1 7 views 4 downloads
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