KR

K. Rauf

Department of Mathematics, University of Ilorin, Ilorin, Nigeria

raufkml@gmail.com
11 Publications
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Publications 11

1
Research Article Vol. 30, Issue 1

Subclasses of Partial Contraction Mapping in Semigroup of Linear Operators

K. 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.

Aug, 2026 Vol. 30, Issue 1 1 views
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2
Research Article Vol. 29, Issue 2

New Generalizations of Hardy-type Inequalities on Time Scales

E. E. Aribike*, K. 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.

Dec, 2019 Vol. 29, Issue 2
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Research Article Vol. 28, Issue 1

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

I. A. Sani*, K. 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 (...

Apr, 2019 Vol. 28, Issue 1 1 views
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Research Article Vol. 28, Issue 1

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

I. A. Sani*, K. 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 (...

Apr, 2019 Vol. 28, Issue 1
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6
Research Article Vol. 27, Issue 1

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

K. I. Apanpa*, K. 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.

Jun, 2018 Vol. 27, Issue 1 1 views
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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, K. 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...

Jun, 2018 Vol. 27, Issue 1
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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, K. 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.

Sep, 2017 Vol. 26, Issue 1 1 views
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