A New Algorithm for Monotone Inclusion Problems and Fixed Points on Hadamard Manifolds with Applications
Sign Up to like & getrecommendations! Published in 2021 at "Acta Mathematica Scientia"
DOI: 10.1007/s10473-021-0413-9
Abstract: In this article, we propose a new algorithm and prove that the sequence generalized by the algorithm converges strongly to a common element of the set of fixed points for a quasi-pseudo-contractive mapping and a… read more here.
Keywords: inclusion problems; hadamard manifolds; monotone inclusion; new algorithm ... See more keywords
On the complexity of a hybrid proximal extragradient projective method for solving monotone inclusion problems
Sign Up to like & getrecommendations! Published in 2020 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00200-3
Abstract: In a series of papers (Solodov and Svaiter in J Convex Anal 6(1):59–70, 1999; Set-Valued Anal 7(4):323–345, 1999; Numer Funct Anal Optim 22(7–8):1013–1035, 2001) Solodov and Svaiter introduced new inexact variants of the proximal point… read more here.
Keywords: proximal extragradient; method; monotone inclusion; hybrid proximal ... See more keywords
Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds
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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
Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds
Sign Up to like & getrecommendations! Published in 2021 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2021.1933523
Abstract: The aim of this article is to introduce new iterative algorithms for finding a common solution from the set of equilibrium points of an equilibrium problem and of singularities of an inclusion prob... read more here.
Keywords: splitting algorithms; equilibrium; algorithms equilibrium; problems inclusion ... 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
On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2020 at "Optimization"
DOI: 10.1080/02331934.2020.1786567
Abstract: The purpose of this paper is to introduce and study the existence problem of solution for a system of monotone variational inclusion problems in Hilbert spaces. By using the inertial forward-backwa... read more here.
Keywords: system; hilbert spaces; problems hilbert; inertial forward ... See more keywords
Iterative Algorithms for a Generalized System of Mixed Variational-Like Inclusion Problems and Altering Points Problem
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DOI: 10.19139/soic-2310-5070-884
Abstract: In this article, we introduce and study a generalized system of mixed variational-like inclusion problems involving αβ-symmetric η-monotone mappings. We use the resolvent operator technique to calculate the approximate common solution of the generalized system… read more here.
Keywords: system; variational like; generalized system; like inclusion ... See more keywords
Differential inclusion problems with convolution and discontinuous nonlinearities
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DOI: 10.3934/eect.2020056
Abstract: The paper investigates a new type of differential inclusion problem driven by a weighted (p, q)-Laplacian and subject to Dirichlet boundary condition. The problem fully depends on the solution and its gradient. The main novelty… read more here.
Keywords: problems convolution; differential inclusion; convolution discontinuous; discontinuous nonlinearities ... 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