• Convergence of a Modified Multi-Step Iterative Scheme for P- Nearly Uniformly L-Lipschitzian Asymptotically Pseudocontrative Mappings 

  Olisama, V.O.; Mogbademu, A.A.; Olaleru, J.O (International Journal of Analysis and Applications, 2014)

  In this paper, it is shown that the modified multi-step iteration converges strongly to the common fixed point of a finite family of nearly uniformly L- Lipschitzian asymptotically pseudo contractive mappings. The main ...

• The implicit midpoint rule of nonexpansive mappings and applications in uniformly smooth Banach spaces 

  Aibinu, M. O.; Pillay, P.; Olaleru, J.O; Mewomo, O. T. (Journal of Non-Linear Sciences and Application, 2018)

  Let K be a nonempty closed convex subset of a Banach space E and T : K ! K be a nonexpansive mapping. Using a viscosity approximation method, we study the implicit midpoint rule of a nonexpansive mapping T. We establish a ...

• Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces. 

  Olisama, V.O.; Olaleru, J.O; Akewe, H (Springer Open Journal, 2018)

  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 ...

• Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces 

  Olisama, V.O.; Olaleru, J.O; Akewe, H (Hindawi Publishing Corporation, 2017)

  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 ...

• On common fixed points and multipled fixed points of contractive mappings in metric-type spaces 

  Olaoluwa, H.O.; Olaleru, J.O (Journal of the Nigerian Mathematical Society, 2015-06-17)

  This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone b-metric spaces. The main result obtained unifies, improves and generalizes several results ...

• An Approach to the Approximation of Common Coupled Fixed Points of Contractive Maps in Metric-Type Spaces 

  Olaoluwa, H.O.; Olaleru, J.O (Advanced Fixed Point Theory, 2015)

  In this research work, some results on the existence and approximation of common coupled fixed points of contractive maps in cone metric spaces are unified and generalized based on a new method

• Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces 

  Eke, K.S.; Olaleru, J.O (Science Research, 2014)

  The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved. The results extend ...

• Common Fixed Point Theorems for Pairs of Hybrid Maps in G-Symmetric Spaces 

  Eke, K.S.; Olaleru, J.O (International Journal of Pure and Applied Mathematics, 2015)

  The existence of the common fixed points for some pairs of hybrid maps(i.e. singled-valued and set-valued maps) satisfying some generalized contractive conditions in G-symmetric spaces are proved. The results extend and ...

• Quadruple Best Proximity Points of Q-Cyclic Contraction Pair in Abstract Metric Spaces 

  Olisama, V.O.; Olaleru, J.O; Olaoluwa, H.O. (Asian Journal of Mathematics And Applications, 2015)

  We introduce the concepts of quadruple best proximity point and Q-cyclic contraction pair and prove the existence and convergence of quadruple best proximity points in abstract metric spaces. The results are extension of ...

• Convergence Theorems for Asymptotically Pseudocontractive Mappings in the Intermediate Sense for the Modified Noor Iterative Scheme 

  Okeke, G.A.; Olaleru, J.O (International Journal of Mathematical Modelling & Computations, 2015)

  We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and ...

• Relative Fuzzy Set 

  Osawaru, K.E.; Olaleru, J.O; Olaoluwa, H.O. (International Scientific publication and consulting services, 2018)

  We propose a fuzzy set of a set characterized by a growth membership function. The elements of the proposed fuzzy set are capable of growing in membership grade over any chosen variable/parameter of the measure chains. ...

• Common Fixed Points of a Three-Step Iteration with errors of Asymptotically Quasi-Nonexpansive Nonself-Mappings in the Intermediate sense in Banach spaces 

  Okeke, G.A.; Olaleru, J.O (F a s c i c u l i M a t h e m a t i c i, 2014)

  In this paper, we extend the results of Inprasit and Wattanataweekul [7] to the class of asymptotically quasi-nonexpansive nonself-mappings in the intermediate sense. We prove some strong convergence theorems for asymptotically ...

• Existence of Fixed Points of Certain Classes of Nonlinear Mappings 

  Okeke, G.A.; Olaleru, J.O (International Journal of Mathematical Modelling & Computations, 2014)

  In this study, we introduce the classes of ϕ-strongly pseudocontractive mappings in the intermediate sense and generalized Φ-pseudocontractive mappings in the intermediate sense and prove the existence of fixed points for ...

• Modified Multi-Step Iterative Processes for a Finite Family of Asymptotically Pseudocontrative Maps 

  Olisama, V.O.; Mogbademu, A.A.; Olaleru, J.O (HIKARI Ltd, 2014)

  Very recently, Mogbademu [6] answered in affirmative the open problem proposed in [9] by extending an iterative algorithm for two asymptotically pseudocontractive mappings to three mappings. He further asked if his results ...

• Fixed Points of Demicontinuous φ-Nearly Lipschitzian Mappings in Banach Spaces 

  Okeke, G.A.; Olaleru, J.O (Thai Journal of Mathematics, 2019)

  In this study, we introduce the classes of φ-nearly contraction mappings, φ-nearly nonexpansive mappings, φ-nearly asymptotically nonexpansive mappings, φ-nearly uniformly k-Lipschitzian mappings and φ-nearly uniform ...

• The Fixed Points of Certain Discontinuous Operator on Locally Convex Spaces 

  Olaleru, J.O (Asian Network for Scientific Information, 2006)

  The fixed point properties of four classes of operators mapping a metrisable locally convex space into itself are considered. These classes include contraction, and non-expansive mappings, discontinuous operators for certain ...

• An Extension of Gregus Fixed Point Theorem 

  Olaleru, J.O; Akewe, H (Hindawi Publishing Corporation, 2007)

  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 ...

• A comparison of Picard and Mann Iterations for Quasi-Contraction Maps 

  Olaleru, J.O (Fixed Point Theory Journal, 2007)

  For a class of quasi-contractive operators defined on an arbitrary Banach space, it has been shown that the Picard iteration technique converges faster than the Mann iteration technique. In this paper we make a comparison ...

• On Weighted Spaces Without a Fundamental Sequence of Bounded Sets 

  Olaleru, J.O (Hindawi Publishing Corporation, 2002-09-21)

  The problem of countably quasi-barrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of ...

• Weighted locally convex spaces of measurable functions 

  Olaleru, J.O (Revista Colombiana de Matematicas, 2004)

  In this paper, we make a study of weighted locally convex spaces of measurable functions parallel to the studies of weighted locally convex spaces of continuous functions which has been a subject of intense research for ...

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