An iterative scheme for split equality equilibrium problems and split equality hierarchical fixed point problem [PDF]
Advances in Difference Equations, 2021 This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
doaj +2 more sources
An Iterative Algorithm for the Split Equality and Multiple-Sets Split Equality Problem [PDF]
Abstract and Applied Analysis, 2014 The multiple-sets split equality problem (MSSEP) requires finding a point x∈∩i=1NCi, y∈∩j=1MQj such that Ax=By, where N and M are positive integers, {C1,C2,…,CN} and {Q1,Q2,…,QM} are closed convex subsets of Hilbert spaces H1, H2,
Luoyi Shi, Ru Dong Chen, Yu Jing Wu
doaj +5 more sources
Journal of Function Spaces, 2020 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.
Meixia Li, Xueling Zhou, Wenchao Wang
doaj +3 more sources
An algorithm for the split-feasibility problems with application to the split-equality problem [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we study the split-feasibility problem in Hilbert spaces by using the projected reflected gradient algorithm. As applications, we study the convex linear inverse problem and the split-equality problem in Hilbert spaces, and we give new ...
Chih-Sheng Chuang, Chi-Ming Chen
doaj +4 more sources
On split equality fixed-point problems
Alexandria Engineering Journal, 2023 In this present work, we study new algorithms to solve the split equality fixed-point problems for total quasi-asymptotically nonexpansive mappings in Hilbert spaces.
L.B. Mohammed, A. Kılıçman, A.U Saje
doaj +2 more sources
An Improved Alternating CQ Algorithm for Solving Split Equality Problems [PDF]
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +3 more sources
Simultaneous and semi-alternating projection algorithms for solving split equality problems [PDF]
Journal of Inequalities and Applications, 2018 In this article, we first introduce two simultaneous projection algorithms for solving the split equality problem by using a new choice of the stepsize, and then propose two semi-alternating projection algorithms.
Qiao-Li Dong, Dan Jiang
doaj +4 more sources
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
doaj +2 more sources