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Let $C$ be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space $E$ with dual space $E^*$. We present a novel hybrid method for finding a common solution of a family of equilibrium problems, a…

泛函分析 · 数学 2022-08-17 Markjoe O. Uba , Maria A. Onyido , Cyril I. Udeani , Peter U. Nwokoro

In this paper, we introduce an iterative process which converges strongly to a common element of sets of solutions of finite family of generalized equilibrium problems, sets of fixed points of finite family of continuous relatively…

泛函分析 · 数学 2020-12-02 O. I. Agha Ibiam , L. O. Madu , E. U. Ofoedu , C. E. Onyi , H. Zegeye

In this paper, we study a new iterative method for a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the frame work of reflexive real Banach spaces. Moreover, we prove the strong convergence theorem for…

泛函分析 · 数学 2015-12-02 Vahid Darvish

In this paper we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of quasi $\phi$-asymptotically nonexpansive mappings $\{F(S_j)\}_{j=1}^N$, the set of…

最优化与控制 · 数学 2015-10-28 Pham Ky Anh , Dang Van Hieu

We introduce an iterative process for finding common fixed point of finite family of quasi-Bregman nonexpansive mappings which is a unique solution of some equilibrium problem.

泛函分析 · 数学 2017-06-23 G. C. Ugwunnadi , Bashir Ali

In this paper, we study a new iterative method for finding the fixed point of a weak Bregman relatively nonexpansive mapping and the set of solutions of generalized mixed equilibrium problems in Banach spaces.

泛函分析 · 数学 2019-11-07 V. Darvish , K. Jantakarn , A. Kaewcharoen , N. Biranvand

In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in a Banach space. Our results…

泛函分析 · 数学 2014-10-16 Sattar Alizadeh , Fridoun Moradlou

In this paper, a novel parallel hybrid iterative method is proposed for finding a common element of the set of solutions of a system of equilibrium problems, the set of solutions of variational inequalities for inverse strongly monotone…

最优化与控制 · 数学 2015-10-28 Dang Van Hieu

In this paper, we introduce new implicit and explicit iterative schemes which converge strongly to a unique solution of variational inequality problems for strongly accretive operators over a common fixed point set of finite family of…

泛函分析 · 数学 2010-07-07 Eric U. Ofoedu

The purpose of this paper is to study an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth and uniformly convex Banach space with respect to a left regular sequence of means defined on an…

泛函分析 · 数学 2015-06-10 Ebrahim Soori

In this paper, we introduce a new iterative method to find a common solution of a generalized mixed equilibrium problem, a variational inequality problem and a hierarchical fixed point problem for a demicontinuous nearly nonexpansive…

泛函分析 · 数学 2014-09-17 Ibrahim Karahan

We introduce and investigate an iterative scheme for approximating common fixed point of a family of Bregman relatively-nonexpansive mappings in real reflexive Banach spaces. We prove strong convergence theorem of the sequence generated by…

泛函分析 · 数学 2017-07-27 Oladipo Abiodun Timoye , Enyinnaya Ekuma-Okereke

In this paper, using generalized metric projection, we propose a new extragradient method for finding a common element of the solutions set of a generalized equilibrium problem and a variational inequality for an $\alpha$-inverse-strongly…

泛函分析 · 数学 2016-11-01 Zeynab Jouymandi , Fridoun Moradlou

In this paper, first we introduce a new mapping for finding a common fixed point of an infinite family of nonexpansive mappings then we consider iterative method for finding a common element of the set of fixed points of an infinite family…

泛函分析 · 数学 2015-02-18 Vahid Darvish , S. M. Vaezpour

In this paper, we prove the existence of fixed points of mappings satisfying the condition (Da), a kind of generalized nonexpansive mappings, on a weakly compact convex subset in a Banach space satisfying Opial's condition. And we use…

泛函分析 · 数学 2020-07-07 Chang Il Rim , Jong Gyong Kim

In this paper, a general hybrid fixed point theorem for the contractive mappings in generalized Banach spaces is proved via measure of weak non-compactness and it is further applied to fractional integral equations for proving the existence…

泛函分析 · 数学 2024-01-17 Aref Jeribi , Najib Kaddachi , Zahra Laouar

In this paper, we propose two novel parallel hybrid methods for finding a common element of the set of solutions of a finite family of generalized equilibrium problems for monotone bifunctions $\left\{f_i\right\}_{i=1}^N$ and $\alpha$ -…

最优化与控制 · 数学 2016-01-12 Dang Van Hieu

In this paper, we propose new algorithms for finding a common point of the solution set of a pseudomonotone equilibrium problem and the set of fixed points of a symmetric generalized hybrid mapping in a real Hilbert space. The convergence…

最优化与控制 · 数学 2015-08-18 Bui Van Dinh , Do Sang Kim

In this paper, we unify all know iterative methods by introducing a new explicit iterative scheme for approximation of common fixed points of finite families of total asymptotically $I$-nonexpansive mappings. Note that such a scheme…

泛函分析 · 数学 2012-04-10 Farrukh Mukhamedov , Mansoor Saburov

We consider the problem of finding a fixed point of a nonexpansive mapping, which is also a solution of a pseudo-monotone equilibrium problem, where the bifunction in the equilibrium problem is the sum of two ones. We propose a splitting…

最优化与控制 · 数学 2018-05-08 Le Dung Muu , Xuan Thanh Le
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