Papers by ALFRED OLUFEMI BOSEDE
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, 2010
In this paper, we establish some generalizations to approximate common fixed points for selfmappi... more In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results of Rafiq [14].
In this paper, we establish some stability results for some common fixed points for a pair of sel... more In this paper, we establish some stability results for some common fixed points for a pair of self-mappings in Hausdorff uniform spaces. These results are proved by using the concepts of A-distance and E-distance as well as the notion of comparison functions. Our results generalize and improve some of the known stability results in literature.
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, 2011
In this paper, we establish some stability results for the Jungck-Mann, Jungck-Krasnoselskij and ... more In this paper, we establish some stability results for the Jungck-Mann, Jungck-Krasnoselskij and Jungck iteration processes in arbitrary Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck-Mann, Jungck-Krasnoselskij and Jungck iterations. Our results are generalizations and extensions to a multitude of stability results in literature including those of Imoru and Olatinwo [8], Jungck [10], Berinde [1] and many others.
Fasciculi Mathematici, 2013
In this paper, we establish stability result for a pair of selfmappings in Hausdorff uniform spac... more In this paper, we establish stability result for a pair of selfmappings in Hausdorff uniform spaces by employing the notion of comparison functions as well as the concept of E-distance introduced by Aamri and El Moutawakil [1]. Our results improve and unify some of the known stability results in literature.
In this paper, we establish some generalizations of some common fixed point theorems in uniform s... more In this paper, we establish some generalizations of some common fixed point theorems in uniform spaces for selfmappings by using the notions of A-distance and E-distance. A more general ϕ-contractive-type condition than those of Aamri and El Moutawakil [1] and Olatinwo [8] was employed to establish our results. These generalizations can be viewed as an improvement to some of the results of Aamri and El Moutawakil [1] and Olatinwo [8].
Fasciculi Mathematici, 2009
In this paper, we establish some fixed point theorems for Noor iterations associated with Zamfire... more In this paper, we establish some fixed point theorems for Noor iterations associated with Zamfirescu mappings in uniformly convex Banach spaces and deduce similar other results on Mann and Ishikawa iterations as special cases. Our results improve a multitude of recent results in the fixed point theory especially the result of Ciric [5].
Journal of the Nigerian Mathematical Society, 2012
In this paper, we establish stability result for a pair of selfmappings in Hausdorff uniform spac... more In this paper, we establish stability result for a pair of selfmappings in Hausdorff uniform spaces by employing the notion of comparison functions as well as the concept of E-distance introduced by Aamri and El Moutawakil [1]. Our results improve and unify some of the known stability results in literature.
summary:In this paper, we establish some generalizations to approximate common fixed points for s... more summary:In this paper, we establish some generalizations to approximate common fixed points for selfmappings in a normed linear space using the modified Ishikawa iteration process with errors in the sense of Liu [10] and Rafiq [14]. We use a more general contractive condition than those of Rafiq [14] to establish our results. Our results, therefore, not only improve a multitude of common fixed point results in literature but also generalize some of the results of Berinde [3], Rhoades [15] and recent results of Rafiq [14]
In this paper, we establish some strong convergence results for the Jungck-Ishikawa and Jungck-Ma... more In this paper, we establish some strong convergence results for the Jungck-Ishikawa and Jungck-Mann iteration processes considered in Banach spaces. These results are proved for a pair of nonselfmappings using the Jungck-Ishikawa and Jungck-Mann iterations. Our results improve, generalize and extend some of the known ones in literature especially those of Olatinwo and Imoru [17] and Berinde [2].
Let E be a separable Banach space and S,T:Ω × Y → E be a nonself random commuting mappings define... more Let E be a separable Banach space and S,T:Ω × Y → E be a nonself random commuting mappings defined on arbitrary Y satisfying generalized random φcontractive-like operator ∥ T(ω,x) − T(ω,y) ∥≤ δ ∥ S(ω,x) − S(ω,y) ∥ +φ(∥ S(ω,x) − T(ω,x) ∥), with T(ω,Y) ⊆ S(ω,Y) and S(ω,Y) a complete subspace of E,0 ≤ δ < 1,φ:R → R with φ(t) > 0∀t ∈ (0,∞) and φ(0) = 0. It is shown in this paper, that a stochastic version of hybrid iterative algorithm called a modified random JungckMann hybrid iterative algorithm is introduced and is used to approximate the unique common random fixed point of S and T for a generalized random φ-contractive-like operators in a separable Banach space. Strong convergence results for random Picard-Mann, random Picard iterative schemes for single map T are deduced as corollaries. Stability results are proved and an example is provided to demonstrate the applicability of the hybrid scheme. Keywords-Random Jungck-Mann iterative schemes, generalized random contractive-like...
In this paper, we establish some stability results for some common fixed points for a pair of sel... more In this paper, we establish some stability results for some common fixed points for a pair of self-mappings in Hausdorff uniform spaces. These results are proved by using the concepts of A-distance and E-distance as well as the notion of comparison functions. Our results generalize and improve some of the known stability results in literature.
In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing ... more In this paper, we prove the stability of Noor iteration considered in Banach spaces by employing the notion of a general class of functions introduced by Bosede and Rhoades [6]. We also establish similar result on Ishikawa iteration as a special case. Our results improve and unify some of the known stability results in literature.
In this paper, we employ the notion of a general class of functions introduced by Bosede and Rhoa... more In this paper, we employ the notion of a general class of functions introduced by Bosede and Rhoades [6] to prove the strong convergence of Noor iteration considered in Banach spaces. We also establish the strong convergence of Ishikawa and Mann iterations as special cases. Our results generalize, improve and unify some of the known results in literature.
Journal of Informatics and Mathematical Sciences, 2020
In this paper, two different classes of mappings namely, uniformly continuous asymptotically none... more In this paper, two different classes of mappings namely, uniformly continuous asymptotically nonexpansive and uniformly continuous asymptotically demicontractive mappings are considered on the general modified Noor iteration process with errors and proved to converge strongly to the fixed point of uniformly continuous asymptotically demicontractive mappings in uniformly smooth Banach spaces. The new result can be viewed as an improvement to a multitude of results in the fixed point theory especially those of Xu and Noor [8], Owojori and Imoru [5] and also the results of Owojori [6].
Journal of Applied Mathematics and Physics, 2019
In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence resul... more In this paper, a modified implicit Kirk-multistep iteration scheme and a strong convergence result for a general class of maps in a normed linear space was established. It was also shown that the convergence of this iteration scheme is equivalent to the convergency of some other implicit Kirk-type iteration (implicit Kirk-Noor, implicit Kirk-Ishikawa and implicit Kirk-Mann iterations) for the same class of maps. Some numerical examples were considered to show that the equivalence of convergence results to the fixed point is true. The results unify most equivalence results in literature.
In this paper, we establish some fixed point theorems for Noor iterations associated with Zamfire... more In this paper, we establish some fixed point theorems for Noor iterations associated with Zamfirescu mappings in uniformly convex Banach spaces and deduce similar other results on Mann and Ishikawa iterations as special cases. Our results improve a multitude of recent results in the fixed point theory especially the result of Ciric [5].
Journal of Applied Mathematics and Physics, 2016
Following a six-step flow chart, exponentially-fitted variant of the 2-step Simpson's method suit... more Following a six-step flow chart, exponentially-fitted variant of the 2-step Simpson's method suitable for solving ordinary differential equations with periodic/oscillatory behaviour is constructed. The qualitative properties of the constructed methods are also investigated. Numerical experiments on standard problems confirming the theoretical expectations regarding the constructed methods compared with other existing standard methods are also presented. Our results unify and improve the existing classical 2-step Simpson's method.
The paper studies the convergence of Krasnoselskij iterative pro-cess to fixed points of norm-dec... more The paper studies the convergence of Krasnoselskij iterative pro-cess to fixed points of norm-decreasing isomorphisms on the space of Hermitian elements of a uniformly convex Banach algebra.
Combining the ideas of Banach operator (cf. [J. Chen and Z. Li, J. Math. Anal. Appl. 336, No. 2, ... more Combining the ideas of Banach operator (cf. [J. Chen and Z. Li, J. Math. Anal. Appl. 336, No. 2, 1466–1475 (2007; Zbl 1128.47050)]) and weakly compatible maps (cf. [G. Jungck and B. E. Rhoades, Indian J. Pure Appl. Math. 29, No. 3, 227–238 (1998; Zbl 0904.54034)]), the authors obtain a common fixed point theorem, extending a result of S. L. Singh and A. Kumar [Mat. Vesn. 58, No. 3–4, 85–90 (2006; Zbl 1140.54018)] and others.
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Papers by ALFRED OLUFEMI BOSEDE