Results 11 to 20 of about 7,329 (240)
Strong Convergence Theorems for Variational Inequalities and Split Equality Problem [PDF]
Journal of Function Spaces and Applications, 2013 Let H1, H2, and H3 be real Hilbert spaces, let C⊆H1, Q⊆H2 be two nonempty closed convex sets, and let A:H1→H3, B:H2→H3 be two bounded linear operators. The split equality problem (SEP) is to find x∈C, y∈Q such that Ax=By.
Yu Jing Wu, Ru Dong Chen, Luo Yi Shi
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Modified Projection Algorithms for Solving the Split Equality Problems [PDF]
The Scientific World Journal, 2014 The split equality problem (SEP) has extraordinary utility and broad applicability in many areas of applied mathematics. Recently, Byrne and Moudafi (2013) proposed a CQ algorithm for solving it.
Qiao-Li Dong, Songnian He
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Journal of Inequalities and Applications, 2016 The split equality problem is a generalization of the split feasibility problem, meanwhile it is a special case of multiple-sets split equality problems.
Dianlu Tian, Luoyi Shi, Rudong Chen
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The Split Equality Fixed-Point Problem and Its Applications
AxiomsIt is generally known that in order to solve the split equality fixed-point problem (SEFPP), it is necessary to compute the norm of bounded and linear operators, which is a challenging task in real life.
Lawan Bulama Mohammed, Adem Kilicman
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Journal of Inequalities and Applications, 2019 In this paper, we are concerned with the split equality common fixed point problem. It is a significant generalization of the split feasibility problem, which can be used in various disciplines, such as medicine, military and biology, etc.
Meixia Li, Xueling Zhou, Haitao Che
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An Improved Alternating CQ Algorithm for Solving Split Equality Problems
Mathematics, 2021 The CQ algorithm is widely used in the scientific field and has a significant impact on phase retrieval, medical image reconstruction, signal processing, etc.
Yan-Juan He, Li-Jun Zhu, Nan-Nan Tan
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Journal of Inequalities and Applications, 2021 In this paper, we propose a new iterative algorithm for solving the multiple-sets split feasibility problem (MSSFP for short) and the split equality fixed point problem (SEFPP for short) with firmly quasi-nonexpansive operators or nonexpansive operators ...
Tongxin Xu, Luoyi Shi
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Multiple Split Equality Problem and Convergence Result
Earthline Journal of Mathematical Sciences, 2023 Let $H_i$ (where $i = 1, ..., m$) be Hilbert spaces, and let $H$ be another Hilbert space. Let $A_i: H_i \to H$ be bounded linear operators for $i = 1, ..., m$. We introduce the Multiple Split Equality Problem (MSEP), provide an algorithm for constructing a solution to MSEP, and establish the strong convergence of the algorithm to such a solution.
Agatha Chizoba Nnubia +3 more
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The Ball-Relaxed Gradient-Projection Algorithm for Split Feasibility Problem
Journal of Function Spaces, 2022 In this paper, we concern with the split feasibility problem (SFP) whenever the convex sets involved are composed of level sets. By applying Gradient-projection algorithm which is used to solve constrained convex minimization problem of a real valued ...
Xiaochun Li, Xiaoxiao Liu, Fugen Gao
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Some Results for Split Equality Equilibrium Problems in Banach Spaces [PDF]
Symmetry, 2019 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 and weak convergence theorems for the proposed algorithm are proved.
Ma, Zhaoli, Wang, Lin, Cho, Yeol Je
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