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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…

Functional Analysis · Mathematics 2022-08-17 Markjoe O. Uba , Maria A. Onyido , Cyril I. Udeani , Peter U. Nwokoro

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…

Optimization and Control · Mathematics 2015-10-28 Dang Van Hieu

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…

Functional Analysis · Mathematics 2020-12-02 O. I. Agha Ibiam , L. O. Madu , E. U. Ofoedu , C. E. Onyi , H. Zegeye

In this paper we study some novel parallel and sequential hybrid methods for finding a common fixed point of a finite family of asymptotically quasi $\phi$-nonexpansive mappings. The results presented here modify and extend some previous…

Optimization and Control · Mathematics 2015-10-29 Pham Ky Anh , Dang Van Hieu

Let $\Omega$ be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space $\mathcal{X}$ with dual space $\mathcal{X}^*$. This article presents a hybrid algorithm for finding a common element of the set…

Functional Analysis · Mathematics 2025-09-30 Peter U. Nwokoro , Maria A. Onyido , Markjoe O. Uba , Cyril I. Udeani

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 $\alpha$ -…

Optimization and Control · Mathematics 2016-01-12 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…

Functional Analysis · Mathematics 2010-07-07 Eric U. Ofoedu

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…

Functional Analysis · Mathematics 2014-09-17 Ibrahim Karahan

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…

Functional Analysis · Mathematics 2014-10-16 Sattar Alizadeh , Fridoun Moradlou

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.

Functional Analysis · Mathematics 2017-06-23 G. C. Ugwunnadi , Bashir Ali

In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an…

Functional Analysis · Mathematics 2014-05-22 Ibrahim Karahan , Murat Ozdemir

In this paper, we introduce three new iterative methods for finding a common point of the set of fixed points of a symmetric generalized hybrid mapping and the set of solutions of an equilibrium problem in a real Hilbert space. Each method…

Optimization and Control · Mathematics 2018-05-08 Bui Van Dinh , Nguyen Ngoc Hai , Do Sang Kim

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…

Functional Analysis · Mathematics 2015-02-18 Vahid Darvish , S. M. Vaezpour

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…

Functional Analysis · Mathematics 2015-12-02 Vahid Darvish

This paper deals with a modified iterative projection method for approximating a solution of the hierarchical fixed point problem for a sequene of nearly nonexpansive mappings with respect to a nonexpansive mapping. It is shown that under…

Functional Analysis · Mathematics 2014-03-14 Ibrahim Karahan , Murat Ozdemir

In this paper, we introduce two novel parallel projection methods for finding a solution of a system of variational inequalities which is also a common fixed point of a family of (asymptotically) $\kappa$ - strict pseudocontractive…

Optimization and Control · Mathematics 2015-11-09 Dang Van Hieu

In this paper, we propose two parallel extragradient - viscosity methods for finding a particular element in the common solution set of a system of equilibrium problems and finitely many fixed point problems. This particular point is the…

Optimization and Control · Mathematics 2016-03-08 Dang Van Hieu

Strong convergence of a new iterative process based on the Shrinking projection method to a common element of the set of common fixed points of an infinite family of relatively quasi-nonexpansive multivalued mappings and the solution set of…

Functional Analysis · Mathematics 2012-08-21 M. Eslamian

In this paper we prove the strong convergence of the explicit iterative process to a common fixed point of the finite family of nonexpansive mappings defined on Hilbert space, which solves the the variational inequality on the fixed points…

Functional Analysis · Mathematics 2011-05-03 Farrukh Mukhamedov , Mansoor Saburov

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…

Functional Analysis · Mathematics 2017-07-27 Oladipo Abiodun Timoye , Enyinnaya Ekuma-Okereke
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