- BIOGRAPHY:Prof. Habtu Zegeye Hailu is currently a full Professor at the Department of Mathematics and Statistical ... moreBIOGRAPHY:Prof. Habtu Zegeye Hailu is currently a full Professor at the Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology (BIUST), Palapye, Botswana. He holds a PhD in Mathematics from The University of Nigeria, Nsukka, Nigeria, in 2002. It was a sandwich program with the International Center for Theoretical Physics (ICTP), Trieste, Italy. He also obtained advanced diploma in Mathematics from ICTP in 1996. He was a post-doctoral researcher at ICTP from 2001-2002 and at International School for Advanced Studies (SISA), Trieste, Italy, from 2002 – 2003. His MSc (1991) and BSc (1985) degrees in Mathematics were from Addis Ababa University, Addis Ababa, Ethiopia. Professor Hailu has been teaching at University levels for more than twenty-five (25) years. Prior to joining BIUST he taught at Bahir Dar University, Bahir Dar, Ethiopia, and University of Botswana, Gaborone, Botswana.He was a Registrar and Academic Programme Officer at Bahir Dar University and Post Graduate Programme coordinator of the Department of Mathematics, University of Botswana. Prof. Hailu has advised five (5) PhD students and more than ten (10) MSc students. He has published more than 120 papers in international refereed journals. His area of research includes: Nonlinear Operator Theory, Fixed Point Theory and its Applications, Metric spaces, Geometry of Banach spaces, Nonlinear Evolution and Integral Equations, and Sequential and Parallel Algorithms in Feasibility and Optimization. He has formed and led different research groups and has won several research grants from various funding organizations.edit
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In this paper, we construct a Halpern-type subgradient extragradient iterative algorithm which converges strongly to a common point of the f-fixed point set of a continuous f-pseudocontractive mapp...
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In this paper, we propose an inertial algorithm for solving split equality of monotone inclusion and $f$-fixed point of Bregman relatively $f$-nonexpansive mapping problems in reflexive real Banach spaces. Using the Bregman distance... more
In this paper, we propose an inertial algorithm for solving split equality of monotone inclusion and $f$-fixed point of Bregman relatively $f$-nonexpansive mapping problems in reflexive real Banach spaces. Using the Bregman distance function, we prove a strong convergence theorem for the algorithm produced by the method in real reflexive Banach spaces. As an application, we provide several applications of our method. Furthermore, we give a numerical example to demonstrate the behavior of the convergence of the algorithm.
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In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of... more
In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f-pseudocontractive mappings in reflexive real Banach spaces. In addition, we prove a strong convergence theorem for the sequence generated by the algorithm. As a consequence, we obtain a scheme that converges strongly to a common f-fixed point of continuous f-pseudocontractive mappings and a scheme that converges strongly to a common zero of continuous monotone mappings in Banach spaces. Furthermore, we provide a numerical example to illustrate the implementability of our algorithm.
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The purpose of this paper is to introduce an algorithm for approximating solutions of split equality variational inequality problems. A convergence theorem of the proposed algorithm is established in Hilbert spaces under the assumption... more
The purpose of this paper is to introduce an algorithm for approximating solutions of split equality variational inequality problems. A convergence theorem of the proposed algorithm is established in Hilbert spaces under the assumption that the associated mapping is uniformly continuous, pseudomonotone and sequentially weakly continuous. Finally, we provide several applications of our method and provide a numerical result to demonstrate the behavior of the convergence of the algorithm. Our results extend and generalize some related results in the literature.
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The purpose of this paper is twofold. We first give erratum to a proof given by Woldeamanuel et al. [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, Adv. Fixed... more
The purpose of this paper is twofold. We first give erratum to a proof given by Woldeamanuel et al. [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, Adv. Fixed Point Theory, 5 (2015), No. 2, 228-253]. In addition, we study an algorithm which approximates a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings under appropriate conditions.
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In this paper, we introduce and investigate an iterative scheme for finding a common element of the set of common solutions of a finite family of generalized equilibrium problems and the set of fixed points of a Lipschitz and... more
In this paper, we introduce and investigate an iterative scheme for finding a common element of the set of common solutions of a finite family of generalized equilibrium problems and the set of fixed points of a Lipschitz and hemicontractive-type multi-valued mapping. We obtain strong convergence theorems of the proposed iterative process in real Hilbert space settings. Our results improve, generalize and extend most of the recent results that have been proved by many authors in this research area.
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It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of... more
It is the purpose of this paper to introduce an iterative process which converges strongly to a common point of the set of solutions of a finite family of generalized equilibrium problems, the set of fixed points of a finite family of continuous asymptotically quasi- $$\phi$$ -nonexpansive mappings in the intermediate sense, and the set of zeros of a finite family of $$\gamma$$ -inverse strongly monotone mappings in uniformly convex and uniformly smooth real Banach space. Our results improve and unify most of the results that have been proved for this important class of nonlinear mappings.
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Research Interests: Mathematics, Applied Mathematics, Computer Science, Numerical Analysis, Fixed Point Theory, and 10 moreVariational Inequality Problems, Approximation, Iteration, Numerical Analysis and Computational Mathematics, Boolean Satisfiability, Approximation Method, Viscosity Solution, fixed point, Uniformly convex space, and variational inequality
Research Interests: Mathematics, Applied Mathematics, Computer Science, Numerical Analysis, Fixed Point Theory, and 10 moreVariational Inequality Problems, Approximation, Iteration, Numerical Analysis and Computational Mathematics, Boolean Satisfiability, Approximation Method, Viscosity Solution, fixed point, Uniformly convex space, and variational inequality
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Research Interests: Mathematics, Applied Mathematics, Functional Analysis, Combinatorics, Convergence, and 10 morePure Mathematics, Fixed Point Theory, Accretion, Schrodinger equation, Mathematical Analysis and Applications, Boolean Satisfiability, Electrical And Electronic Engineering, Conditional Convergence, fixed point, and nonlinear equation
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ABSTRACT In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong... more
ABSTRACT In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.
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Research Interests: Mathematics, Applied Mathematics, Functional Analysis, Combinatorics, Convergence, and 10 morePure Mathematics, Fixed Point Theory, Accretion, Schrodinger equation, Mathematical Analysis and Applications, Boolean Satisfiability, Electrical And Electronic Engineering, Conditional Convergence, fixed point, and nonlinear equation
Research Interests: Mathematics, Applied Mathematics, Fixed Point Theory, Variational Inequality Problems, Numerical Analysis and Computational Mathematics, and 8 moreElsevier, Approximation Method, Hybrid Method, Equilibrium Problem, fixed point, Iterative Method, Variational inequality problem, and variational inequality
ABSTRACT
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ABSTRACT In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong... more
ABSTRACT In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.