Inertial algorithms with adaptive stepsizes for split variational inclusion problems and their applications to signal recovery problem
Sign Up to like & getrecommendations! Published in 2023 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.9436
Abstract: With the help of the Meir-Keeler contraction method and the Mann-type method, two adaptive inertial iterative schemes are introduced for finding solutions of the split variational inclusion problem in Hilbert spaces. The strong convergence of… read more here.
Keywords: problem; variational inclusion; split variational; signal recovery ... See more keywords
A new proximal-like algorithm for solving split variational inclusion problems
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DOI: 10.1007/s11075-021-01135-4
Abstract: Using iterative regularizations, we introduce a new proximal-like algorithm for solving split variational inclusion problems in Hilbert space and establish a strong convergence theorem for it. As applications, we also investigate the split feasibility and… read more here.
Keywords: split variational; proximal like; like algorithm; algorithm solving ... See more keywords
Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in hilbert spaces with applications
Sign Up to like & getrecommendations! Published in 2019 at "Optimization"
DOI: 10.1080/02331934.2019.1638389
Abstract: ABSTRACT In convex optimization, numerous problems in applied sciences can be modelled as the split variational inclusion problem (SVIP). In this connection, we aim to design new and efficient proximal type algorithms which are based… read more here.
Keywords: split variational; inclusion problem; type algorithms; variational inclusion ... See more keywords
A new viscosity-type iteration for a finite family of split variational inclusion and fixed point problems between Hilbert and Banach spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-019-2201-9
Abstract: In this paper, we introduce a new viscosity-type iteration process for approximating a common solution of a finite family of split variational inclusion problem and fixed point problem. We prove that the proposed algorithm converges… read more here.
Keywords: family split; finite family; split variational; fixed point ... See more keywords