Department Of Mathematics

Permanent URI for this community

https://ir.unilag.edu.ng/handle/123456789/3386
The Department of Mathematics was first established in the School of Mathematical and Physical Sciences in October, 1964 and produced the first set of graduates in 1967. The Department was then composed of two subject areas, namely. Mathematics and Mathematical Physics, and could be taken as two subjects or as one subject. During that period, students in the School of Biological Sciences and the School of Mathematical and Physical Sciences were being examined in three subjects or, in exceptional cases, in one subject in Part III. The Department became part of the newly reconstituted Faculty of Science in 1973. As from 1974, Senate approved a new degree structure based on course units and in 1978, in addition to the Honours Degree Programme in Mathematics, the Department started a combined Honours Degree Programme in Mathematics and Statistics and in 1983, the Department started a Four-Year Degree Programme. The Department started a B.Sc. (Hons) Degree Programme in Industrial Mathematics in 2010/2011.

Browse

Browsing Department Of Mathematics by Author "Akewe, H"

Now showing 1 - 15 of 15
  • Item
    Open Access
    Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces.
    (Springer Open Journal, 2018) Olisama, V.O.; Olaleru, J.O; Akewe, H
    The Hardy–Rogers p-proximal cyclic contraction, which includes the cyclic, Kannan, Chatterjea and Reich contractions as sub-classes, is developed in uniform spaces. The existence and uniqueness results of best proximity points for these contractions are proved. The results, which are for non-self maps, apart from the fact that they are new in literature, generalise several other similar results in literature. Examples are given to validate the results obtained.
  • Item
    Open Access
    Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces
    (Hindawi Publishing Corporation, 2017) Olisama, V.O.; Olaleru, J.O; Akewe, H
    We introduce the concept of 𝐽𝑎V-distance (an analogue of 𝑏-metric), 𝜙𝑝-proximal contraction, and 𝜙𝑝-proximal cyclic contraction for non-self-mappings in Hausdorff uniform spaces. We investigate the existence and uniqueness of best proximity points for these modified contractive mappings. The results obtained extended and generalised some fixed and best proximity points results in literature. Examples are given to validate the main results.
  • Item
    Open Access
    Convergence Theorems on Asymptotically Generalized Φ-Hemicontractive Mappings in the Intermediate Sense
    (Hikari Ltd, 2013) Olaleru, J.O; Okeke, G.A; Akewe, H
    In this study, we introduce two classes of nonlinear mappings, the class of asymptotically generalized Φ-hemicontractive mappings in the intermediate sense and asymptotically generalized Φ-pseudocontractive mappings in the intermediate sense; and prove the convergence of Mann type iterative scheme with errors to their fixed points. Our results generalize the results of Chang et al. [4], Chidume and Chidume [5] and Kim et al. [8] among others.
  • Item
    Open Access
    Coupled fixed point theorems of integral type mappings in cone metric spaces
    (2012-06-07) Olaleru, J.O; Okeke, G.A; Akewe, H
    In this paper, we prove some coupled fixed point theorems in cone metric spaces. Furthermore, we introduce and prove the integral version of coupled fixed point theorems in cone metric spaces. Our results unify, extend and generalize the known results on coupled fixed point theorems in cone metric spaces
  • Item
    Open Access
    The Equivalence of Jungck-Type Iterations for Generalized Contractive-Like Operators in a Banach Space
    (2011) Olaleru, J.O; Akewe, H
    We show that the convergences of Jungck, Jungck- Mann, Jungck-Ishikawa, Jungck-Noor and Jungck-multistep itera- tion processes are equivalent for a class of generalized contractive- like operators defined on a Banach space. Our results are general- izations and extensions of the work of Soltuz [20, 21], Zhiqun [23] and some other numerous ones in literature.
  • Item
    Open Access
    An Extension of Gregus Fixed Point Theorem
    (Hindawi Publishing Corporation, 2006-12-17) Olaleru, J.O; Akewe, H
    Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T :C→C a mapping that satisfies d(Tx,Ty)≤ad(x,y)+bd(x,Tx)+cd(y,Ty)+ ed(y,Tx)+ fd(x,Ty) for all x,y∈C, where 0
  • Item
    Open Access
    An Extension of Gregus Fixed Point Theorem
    (Hindawi Publishing Corporation, 2007) Olaleru, J.O; Akewe, H
    Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T : C → C a mapping that satisfies d(Tx,Ty) ≤ ad(x, y) + bd(x,Tx) + cd(y,Ty) +ed(y,Tx) + f d(x,Ty) for all x, y ∈ C, where 0 < a < 1, b ≥ 0, c ≥ 0, e ≥ 0, f ≥ 0, and a + b + c + e + f = 1. Then T has a unique fixed point. The above theorem, which is a generalization and an extension of the results of several authors, is proved in this paper.In addition, we use the Mann iteration to approximate the fixed point of T.
  • Item
    Open Access
    Fixed point theorems for fixed point theorems for nonlinear equations in banach spaces
    (2013) Okeke, G.A; Akewe, H
    We introduce a new class of nonlinear mappings, the class of φ-strongly quasi-accretive operators and approximate the unique common solution of a family of three of these operators in Banach spaces. Our results improves and generalizes the results of Xue and Fan [25], Yang et al. [26] and several others in literature.
  • Item
    Open Access
    Fixed Point Theorems For Mappings Satisfying General Contractive Condition Of Integral Type In G-Metric Spaces
    (2012-07-18) Akewe, H
    Abstract In this paper, we prove some theorems on fixed and common fixed points for mappings satisfying general contractive condition of integral type in a complete G-metric space. Our results are extensions of the results of Debashis Dey, Anamika Ganguly and Mantu Saha [2] and generalizations of several results in the literature including the results of Branciari
  • Item
    Open Access
    Modified Multistep Iteration for Approximating a General Class of Functions in Locally Convex Spaces
    (2014) Akewe, H
    In this paper, we study the convergence of modifed multistep iterationand use the scheme to approximate the fixed point of a general class of functions introduced by Bosede and Rhoades [5] in a complete metrisable locally convex space. As corollaries, the convergence results for SP and Mann iterations are also established. Moreover, most convergence results in Banach spaces are generalized to complete metrisable locally convex spaces. Our convergence results generalize and extend the results of Berinde [2], Olaleru [11], Phuengrattana and Suantai [13], Ra q [14] among others. 1.
  • Item
    Open Access
    On Convergence and Stability of the Generalized Noor Iterations for a General Class of Operators
    (SCIENCEDOMAIN international, 2013-06-15) Akewe, H; Olaleru, J.O
    In this paper, we establish some strong convergence and stability results of multistep iterative scheme for a general class of operators introduced by Bosede and Rhoades [5] in a Banach space. As corollaries, some convergence and stability results for the Noor, Ishikawa, Mann and Picard iterative schemes are also established. Our convergence results generalize and extend the results of Berinde [3], Bosede [4], Olaleru [16], Rafiq [21, 22] among others, while our stability results are extensions and generalizations of multitude of results in the literature, including the results of Berinde [1], Bosede and Rhoades [5], Imoru and Olatinwo [9] and Osilike [18].
  • Item
    Open Access
    On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators
    (Hindawi Publishing Corporation, 2010-01) Akewe, H; Olaleru, J.O
    We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa, and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations, and extensions of the work of Olatinwo and Imoru (2008), Olatinwo (2008). Consequently, several results in literature are generalized.
  • Item
    Open Access
    On the convergence of modified three-step iteration process for generalized contractive-like operators
    (2012) Olaoluwa, H; Akewe, H
    In this paper, we introduce a new Jungck-three step iterative scheme and call it modified three-step iteration process. A strong conver- gence theorem is proved using this iterative process for the class of generalized contractive-like operators introduced by Olatinwo [14] and Bosede [3] respec- tively, in a Banach space. The results obtained in this paper improve and generalize among others, the results of Bosede [3], Olatinwo and Imoru [13], Shaini and Singh [16], Jungck [6] and Berinde [2].
  • Item
    Open Access
    Strong Convergence and Stability of Jungck-Multistep-SP Iteration for Generalized Contractive-Like Inequality Operators
    (CSCanada, 2012-06-11) Akewe, H
    We introduce the Jungck-multistep-SP iteration and prove some convergence as well as stabiilty results for a pair of weakly compatible generalized contractive- like inequality operators defined on a Banach space. As corollaries, the results show that the Jungck-SP and Jungck-Mann iterations can also be used to approximate the common fixed points of such operators. The results are improvements, generalizations and extensions of the work of Chugh and Kumar (2011). Consequently, several results in literature are generalized.
  • Item
    Open Access
    Strong Convergence and Stability of Kirk-multistep-type Iterative Schemes for Contractive-type Operators
    (SpringerLink, 2014-02-21) Akewe, H; Okeke, G.A; Olayiwola, F
    In this paper, we introduce Kirk-multistep and Kirk-multistep-SP iterative schemes and prove their strong convergences and stabilities for contractive-type operators in normed linear spaces. By taking numerical examples, we compare the convergence speed of our schemes (Kirk-multistep-SP iterative schemes) with the others (Kirk-SP, Kirk-Noor, Kirk-Ishikawa, Kirk-Mann and Kirk iterative schemes) for this class of operators. Our results generalize and extend most convergence and stability results in the literature.