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   Articles with "split equality" as a keyword



A strong convergence theorem for a general split equality problem with applications to optimization and equilibrium problem

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recommendations! Published in 2018 at "Calcolo"

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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recommendations! Published in 2019 at "Calcolo"

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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recommendations! Published in 2020 at "Numerical Algorithms"

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

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recommendations! 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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recommendations! Published in 2019 at "Computational and Applied Mathematics"

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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recommendations! Published in 2020 at "Computational and Applied Mathematics"

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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recommendations! Published in 2018 at "Optimization"

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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recommendations! Published in 2020 at "Optimization"

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

Stability of nonhomogeneous split equality and split feasibility problems with possibly nonconvex constraint sets

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recommendations! Published in 2024 at "Optimization"

DOI: 10.1080/02331934.2025.2508499

Abstract: By applying some techniques of set-valued and variational analysis, we study solution stability of nonhomogeneous split equality problems and nonhomogeneous split feasibility problems, where the constraint sets need not be convex. Necessary and sufficient conditions… read more here.

Keywords: split equality; feasibility problems; split; split feasibility ... 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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recommendations! Published in 2020 at "Journal of Function Spaces"

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

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

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recommendations! Published in 2024 at "Abstract and Applied Analysis"

DOI: 10.1155/aaa/2812752

Abstract: The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive mappings, the… read more here.

Keywords: equality generalized; viscosity approximation; generalized mixed; split equality ... See more keywords