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
Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2021.1895835
Abstract: Abstract The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion problems, equilibrium problems and fixed point for quasi-nonexpansive mappings in… read more here.
Keywords: problems equilibrium; hadamard manifolds; variational inclusion; problems fixed ... See more keywords
Well-posedness for general parametric quasi-variational inclusion problems
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DOI: 10.1080/02331934.2016.1253085
Abstract: Abstract In this paper, we aim to suggest the new concept of well-posedness for the general parametric quasi-variational inclusion problems (QVIP). The corresponding concepts of well-posedness in the generalized sense are also introduced and investigated… read more here.
Keywords: quasi variational; well posedness; variational inclusion; inclusion problems ... See more keywords
Proximal algorithm for solving monotone variational inclusion
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DOI: 10.1080/02331934.2018.1455832
Abstract: Abstract In this paper, we introduce a contraction algorithm for solving monotone variational inclusion problem. To reach this goal, our main iterative algorithm combine Dong’s projection and contraction algorithm with resolvent operator. Under suitable assumptions,… read more here.
Keywords: algorithm; algorithm solving; variational inclusion; monotone variational ... 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
Convergence analysis and stability of perturbed three-step iterative algorithm for generalized mixed ordered quasi-variational inclusion involving XOR operator
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DOI: 10.1080/02331934.2019.1652910
Abstract: ABSTRACT In this article, we introduce a new type of generalized mixed ordered quasi-variational inclusion problem in the setting of real ordered Hilbert spaces. Further, we propose a perturbed three-step iterative algorithm for solving generalized… read more here.
Keywords: ordered quasi; quasi variational; mixed ordered; variational inclusion ... See more keywords
An iterative scheme for split monotone variational inclusion, variational inequality and fixed point problems
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02942-0
Abstract: We propose and analyze a new type iterative algorithm to find a common solution of split monotone variational inclusion, variational inequality, and fixed point problems for an infinite family of nonexpansive mappings in the framework… read more here.
Keywords: inclusion variational; split monotone; inequality fixed; variational inequality ... See more keywords
Variational inclusion governed by αβ-H((.,.),(.,.))-mixed accretive mapping
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DOI: 10.2298/fil1720529g
Abstract: In this paper, we look into a new concept of accretive mappings called αβ-H((., .), (., .))-mixed accretive mappings in Banach spaces. We extend the concept of proximal-point mappings connected with generalized m-accretive mappings to… read more here.
Keywords: governed mixed; mixed accretive; inclusion governed; variational inclusion ... See more keywords
Solving nonlinear implicit variational inclusion problems using S-iteration via relaxed resolvent operator
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Interdisciplinary Mathematics"
DOI: 10.47974/jim-1644
Abstract: The goal of the draft is to launch a fresh iteration scheme for nonlinear implicit variational inclusion problems with the help of strongly ()I−-monotone operator. This scheme is known as relaxed S-iteration scheme. Here, we… read more here.
Keywords: operator; implicit variational; inclusion problems; iteration ... See more keywords