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E. E. Aribike

Department of Mathematics and Statistics, Lagos State Polytechnic, Ikorodu, Nigeria

aribike.e@mylaspotech.edu.ng
5 Publications
35 Views
28 Downloads

Publications 5

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 3 views 3 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 4 views 8 downloads
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3
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 12 views 7 downloads
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4
Research Article Vol. 32, Issue 1

Multifunctional Opial-type Integral Inequalities

Kamilu RAUF*, O. Anthonio, A. Abolarinwa, E. E. Aribike

Some new estimates on integral inequalities of Opial-type for multifunctions are established through some analytic methods. In special cases, the results derived in this paper yield some recently obtained results on Opial’s inequality. Moreover, more results of Opial-type inequality which extend some known results in the literature are also derived...

DOI: 10.67897/njma.2022.e25u3qnn
Jun, 2022 Vol. 32, Issue 1 13 views 6 downloads
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5
Research Article Vol. 29, Issue 2

New Generalizations of Hardy-type Inequalities on Time Scales

E. E. Aribike*, Kamilu RAUF

This paper consists of new generalizations of Hardy-type.integral inequalities and its reversed form on time scales byusing modified Jensen's inequality via convexity. Furthermore,multidimensional Hardy-type inequalities with weightFunctions on time scales are also investigated and proved.

DOI: 10.67897/njma.2019.aoxif6o6
Dec, 2019 Vol. 29, Issue 2 3 views 4 downloads
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