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Prof. Kamilu Rauf

University of Ilorin, Nigeria

krauf@unilorin.edu.ng 0000-0002-9253-5146
15 Publications
91 Views
46 Downloads
0 Citations
27 Global Citations

Biography

A Professor of Mathematical Analysis from University of Ilorin, Nigeria

Publications 15

1
Research Article Vol. 32, Issue 2

Remarks on L p -CKN Interpolation Inequalities of Hardy and Rellich Types on the Sphere

A. Abolarinwa*, Kamilu RAUF, S. Yin

We prove a new family of L p -Caffarelli-Kohn-Nirenberg (CKN) interpolation inequalities with sharp constants on the unit sphere of dimension greater than or equal to two. Consequently, several sharp Hardy type inequalities are obtained as special cases. Moreover, the same method is adopted to establish a new class of Hardy-Rellich type inequalitie...

DOI: 10.67897/njma.2022.x7af8ch8
Dec, 2022 Vol. 32, Issue 2 5 views 4 downloads
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2
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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3
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 7 views 3 downloads
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4
Research Article Vol. 31, Issue 1

Comparison of Some Notions of Orthogonality in Banach Spaces

R. U. Kann*, Kamilu RAUF, O. O. Bamisile, A. K. Adio, J. F. Adelodun

Orthogonality concept is a powerful mathematical tool that makes possible the formulation of some mathematical conjectures to prove some important theorems in Mathematics for the solution of real and imaginary problems. There are different notions of orthogonality in normed linear spaces. The concept of orthogonality has certain properties- symmetr...

DOI: 10.67897/njma.2021.0ch8iftv
Jul, 2021 Vol. 31, Issue 1 6 views 2 downloads
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5
Research Article Vol. 30, Issue 1

Subclasses of Partial Contraction Mapping in Semigroup of Linear Operators

Kamilu RAUF*, A. Y. Akinyele, S. O. Makanjuola

Some properties of C0-Semigroup are investigated and are used to derive some characteristics of ω-Order Preserving and Reversing Partial Contraction Mapping where homo geneous, inhomogeneous and regularity of mild solution for analytic semigroups are engaged. Furthermore, the new sub classes performed exactly like semigroup of linear operators.

DOI: 10.67897/njma.2020.13n1o0c4
Mar, 2020 Vol. 30, Issue 1 9 views 3 downloads
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6
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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7
Research Article Vol. 28, Issue 1

Common Fixed Point Theorems for Five Self Mappings in a Complete Metric Space

I. A. Sani*, Kamilu RAUF

In this research work, we use five different operators P, Q, R, T, and B, to show that there exists a common fixed point among the five operators and prove the uniqueness. Furthermore, we establish that the pairs (R,B),(R,Q),(R,T) and (R,P) are weakly compatible (that is they commute). The result extend and improve the work of Latpate and Dolhare (...

DOI: 10.67897/njma.2019.82jt6nzz
Apr, 2019 Vol. 28, Issue 1 8 views 4 downloads
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8
Research Article Vol. 28, Issue 1

Common Fixed Point Theorems for Five Self Mappings in a Complete Metric Space

I. A. Sani*, Kamilu RAUF

In this research work, we use five different operators P, Q, R, T, and B, to show that there exists a common fixed point among the five operators and prove the uniqueness. Furthermore, we establish that the pairs (R,B),(R,Q),(R,T) and (R,P) are weakly compatible (that is they commute). The result extend and improve the work of Latpate and Dolhare (...

DOI: 10.67897/njma.2019.ne81tajw
Apr, 2019 Vol. 28, Issue 1 7 views 3 downloads
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10
Research Article Vol. 27, Issue 1

Department of Mathematical Sciences, Olabisi Onabanjo University, Ago-Iwoye, Nigeria

K. I. Apanpa*, Kamilu RAUF, L. Aminu

Integral inequality plays a big role in the study of differential,integral and partial differential equations. Gronwall inequalityis an important tool to obtain various estimates in the theoryof ordinary and stochastic differential equations. In this work,extension of Gronwall-Bellman-type inequalities are obtained.

DOI: 10.67897/njma.2018.ua2ty8lo
Jun, 2018 Vol. 27, Issue 1 4 views 2 downloads
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11
Research Article Vol. 27, Issue 1

Result on the Existence and Uniqueness of the Fixed Point with Mann Iteration in a Complete G-Metric Space

A. A. Idowu*, B. Y. Aiyetan, Kamilu RAUF, L. Aminu

In this research, we prove the existence and uniqueness ofthe mixed point in a complete G-metric space using severalgeneralised contractive conditions formulated in G-metricsettings, taking Mann-iteration as our iterative procedure. Our results improve and extend some well-knownresults in the literature. We have utilized these conceptsto deduce tha...

DOI: 10.67897/njma.2018.pjcc028f
Jun, 2018 Vol. 27, Issue 1 3 views 3 downloads
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12
Research Article Vol. 26, Issue 1

Fixed Point Results on Certain Contractive Conditions in Complete G-Metric Space

O. R. Zubair*, R. U. Kanu, B. Y. Aiyetan, Kamilu RAUF

In this work, results on the existence and uniqueness of a fixed point in a complete G-metric space are obtained. Ciric, λ-generalized and Geraghty contractions formulated in G-metric settings are involved by applying Picard iterative procedure. Our results extends and also improve some results in the literature.

DOI: 10.67897/njma.2017.45bzle1l
Sep, 2017 Vol. 26, Issue 1 9 views 3 downloads
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13
Research Article Vol. 25, Issue 1

Some generalized k-Fractional companions of Hadamard's inequality

Hussain R.*, Kehkashan B., Ali A., Latif A., Kamilu RAUF

The present study deals with the derivation of some new companions of Hadamard's inequality of fractional type by means of generalised convex functions, viz. h-convex functions, s-convex functions and also by co-ordinated h-convex functions on a rectangle from the plane R2.

DOI: 10.67897/njma.2016.rpmleows
Jun, 2016 Vol. 25, Issue 1 3 views 2 downloads
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