A strong convergence theorem for a general split equality problem with applications to optimization and equilibrium problem
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DOI: 10.1007/s10092-018-0290-3
Abstract: The purpose of this paper is to introduce and study an iterative algorithm for solving a general split equality problem. The problem consists of finding a common element of the set of common zero points… read more here.
Keywords: general split; split equality; problem; equality problem ... See more keywords
A hybrid extragradient method for a general split equality problem involving resolvents and pseudomonotone bifunctions in Banach spaces
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DOI: 10.1007/s10092-019-0341-4
Abstract: In this paper, using a hybrid extragradient method, we introduce a new iterative process for finding a common element of the solution set of the Split Equality Common Equilibrium Problem for a finite family of… read more here.
Keywords: extragradient method; hybrid extragradient; split equality; split ... See more keywords
A new method for solving split equality problems via projection dynamical systems
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DOI: 10.1007/s11075-020-00950-5
Abstract: In this paper, we propose a projection dynamical system for solving the split equality problem, or more generally the approximate split equality problem, in Hilbert spaces. The proposed dynamical system endows with the continuous behavior… read more here.
Keywords: equality problem; split equality; solving split; equality ... See more keywords
The general split equality problem for Bregman quasi-nonexpansive mappings in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0482-0
Abstract: The purpose of this paper is to propose and study an algorithm for solving the general split equality problem governed by Bregman quasi-nonexpansive mappings in Banach spaces. Under some mild conditions, we established the norm… read more here.
Keywords: bregman quasi; equality problem; general split; nonexpansive mappings ... See more keywords
A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spaces
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DOI: 10.1007/s40314-019-0841-5
Abstract: In this paper, we introduce a modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and split-equality fixed-point problem for Bregman quasi-nonexpansive mappings in p-uniformly convex and uniformly smooth Banach… read more here.
Keywords: modified halpern; split equality; problem; algorithm ... See more keywords
Application of new strongly convergent iterative methods to split equality problems
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DOI: 10.1007/s40314-020-01209-4
Abstract: In this paper, we study the generalized problem of split equality variational inclusion problem. For this purpose, we introduced the problem of finding the zero of a nonnegative lower semicontinuous function over the common solution… read more here.
Keywords: generalized problem; problem; split equality; new strongly ... See more keywords
Linear convergence of gradient projection algorithm for split equality problems
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DOI: 10.1080/02331934.2018.1545124
Abstract: ABSTRACT In this paper, we consider the varying stepsize gradient projection algorithm (GPA) for solving the split equality problem (SEP) in Hilbert spaces, and study its linear convergence. In particular, we introduce a notion of… read more here.
Keywords: linear convergence; projection algorithm; gradient projection; split equality ... See more keywords
A new self-adaptive method for the split equality common fixed-point problem of quasi-nonexpansive mappings
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DOI: 10.1080/02331934.2020.1830400
Abstract: ABSTRACT In this paper, we introduce a new iterative algorithm from primal-dual methods for solving the split equality common fixed-point problem of quasi-nonexpansive mappings in real Hilbert space. Our algorithm includes the simultaneous iterative algorithm… read more here.
Keywords: common fixed; split equality; equality common; point problem ... See more keywords
Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem
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DOI: 10.1155/2020/6034754
Abstract: In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem. For solving the extended split equality problem, we present two… read more here.
Keywords: extended split; split equality; problem; equality problem ... See more keywords
Common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a split equality fixed point problem
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DOI: 10.24193/fpt-ro.2019.1.14
Abstract: This paper deals with a strong convergence theorem for an iterative method for approximating a common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a… read more here.
Keywords: problem split; split; split equality; fixed point ... See more keywords
Some Results for Split Equality Equilibrium Problems in Banach Spaces
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DOI: 10.3390/sym11020194
Abstract: In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong… read more here.
Keywords: split equality; results split; banach spaces; equality equilibrium ... See more keywords