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| 1 | APPROXIMATION OF FIXED POINTS AND VARIATIONAL SOLUTIONS FOR PSEUDO-CONTRACTIVE MAPPINGS IN BANACH SPACES显示文摘Let K be a nonempty, closed and convex subset of a real reflexive Banach space E which has a uniformly Gteaux differentiable norm. Assume that every nonempty closed convex and bounded subset of K has the fixed point property for nonexpansive mappings. Strong convergence theorems for approximation of a fixed point of Lipschitz pseudo-contractive mappings which is also a unique solution to variational inequality problem involving φ-strongly pseudo-contractive mappings are proved. The results presented in this article can be applied to the study of fixed points of nonexpansive mappings, variational inequality problems, convex optimization problems, and split feasibility problems. Our result extends many recent important results. | Yekini SHEHU | 2014 | Acta Mathematica Scientia2014，34，2： | 2 |
| 2 | Antioxidant activity of benzoxazolinonic and benzothiazolinonic derivatives in the LDL oxidation model显示文摘 | Isma?l Yekini Fatma Hammoudi Fran?oise Martin-Nizard Sa?d Yous Nicolas Lebegue Pascal Berthelot Pascal Carato | 2009 | Bioorganic & Medicinal Chemistry2009，，22： | 1 |
| 3 | Energy storage systems for renewable energy power sector integration and mitigation of intermittency显示文摘 | Mohammed Yekini Suberu Mohd Wazir Mustafa Nouruddeen Bashir | 2014 | Renewable and Sustainable Energy Reviews2014，，： | 1 |
| 4 | SINGLE PROJECTION ALGORITHM FOR VARIATIONAL INEQUALITIES IN BANACH SPACES WITH APPLICATION TO CONTACT PROBLEM显示文摘We study the single projection algorithm of Tseng for solving a variational inequality problem in a 2-uniformly convex Banach space.The underline cost function of the variational inequality is assumed to be monotone and Lipschitz continuous.A weak convergence result is obtained under reasonable assumptions on the variable step-sizes.We also give the strong convergence result for when the underline cost function is strongly monotone and Lipchitz continuous.For this strong convergence case,the proposed method does not require prior knowledge of the modulus of strong monotonicity and the Lipschitz constant of the cost function as input parameters,rather,the variable step-sizes are diminishing and non-summable.The asymptotic estimate of the convergence rate for the strong convergence case is also given.For completeness,we give another strong convergence result using the idea of Halpern iteration when the cost function is monotone and Lipschitz continuous and the variable step-sizes are bounded by the inverse of the Lipschitz constant of the cost function.Finally,we give an example of a contact problem where our proposed method can be applied. | Yekini SHEHU | 2020 | Acta Mathematica Scientia2020，40，4： | 1 |
| 5 | q-一致光滑、一致凸Banach空间中关于变分不等式问题和严格伪压缩映射的不动点问题的粘性迭代算法显示文摘该文在q-一致光滑,一致凸Banach空间中研究了关于广义压缩映射的粘性迭代算法,找到了关于两个逆强增生算子的变分不等式问题解集与无限个严格伪压缩映射的公共不动点集的公共元.所得结果提高和推广了许多最近的相关结果. | 蔡钢 Yekini Shehu | 2016 | 数学物理学报(A辑)2016，36，4： | 0 |
| 6 | CONVERGENCE ANALYSIS FOR SYSTEM OF EQUILIBRIUM PROBLEMS AND LEFT BREGMAN STRONGLY RELATIVELY NONEXPANSIVE MAPPING显示文摘In this paper, we prove strong convergence theorems for approximation of a fixed point of a left Bregman strongly relatively nonexpansive mapping which is also a solution to a finite system of equilibrium problems in the framework of reflexive real Banach spaces. We also discuss the approximation of a common fixed point of a family of left Bregman strongly nonexpansive mappings which is also solution to a finite system of equilibrium problems in reflexive real Banach spaces. Our results complement many known recent results in the literature. | Yekini SHEHU | 2014 | Acta Mathematica Scientia2014，34，4： | 0 |
| 7 | CONVERGENCE OF HYBRID VISCOSITY AND STEEPEST-DESCENT METHODS FOR PSEUDOCONTRACTIVE MAPPINGS AND NONLINEAR HAMMERSTEIN EQUATIONS显示文摘In this article, we first introduce an iterative method based on the hybrid viscosity approximation method and the hybrid steepest-descent method for finding a fixed point of a Lipschitz pseudocontractive mapping(assuming existence) and prove that our proposed scheme has strong convergence under some mild conditions imposed on algorithm parameters in real Hilbert spaces. Next, we introduce a new iterative method for a solution of a nonlinear integral equation of Hammerstein type and obtain strong convergence in real Hilbert spaces. Our results presented in this article generalize and extend the corresponding results on Lipschitz pseudocontractive mapping and nonlinear integral equation of Hammerstein type reported by some authors recently. We compare our iterative scheme numerically with other iterative scheme for solving non-linear integral equation of Hammerstein type to verify the efficiency and implementation of our new method. | Yekini SHEHU Olaniyi.S.IYIOLA | 2018 | Acta Mathematica Scientia2018，38，2： | 0 |
| 8 | Further Investigation into Split Common Fixed Point Problem for Demicontractive Operators显示文摘Our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove strong convergence theorem for approximating a solution of split common fixed point problem of demicontractive mappings in a real Hilbert space.So many authors have used algorithms involving the operator norm for solving split common fixed point problem,but as widely known the computation of these algorithms may be difficult and for this reason,authors have recently started constructing iterative algorithms with a way of selecting the step-sizes such that the implementation of the algorithm does not require the calculation or estimation of the operator norm.We introduce a new algorithm for solving the split common fixed point problem for demicontractive mappings with a way of selecting the step-sizes such that the implementation of the algorithm does not require the calculation or estimation of the operator norm and then prove strong convergence of the sequence in real Hilbert spaces.Finally,we give some applications of our result and numerical example at the end of the paper. | Yekini SHEHU Oluwatosin T.MEWOMO | 2016 | Acta Mathematica Sinica,English Series2016，32，11： | 0 |
| 9 | STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES显示文摘This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality problem.Consequently,our proof arguments are different from what is obtainable in the relevant literature.Finally,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature. | 姚永红 Abubakar ADAMU Yekini SHEHU | 2024 | Acta Mathematica Scientia2024，44，2： | 0 |
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