In this paper, inspired by Jitsupa et al. (J. Comput. Appl. Math. 318:293–306, 2017), we propose a general iterative scheme for finding a solution of a split monotone variational inclusion with the constraints of a variational inequality and a fixed ...
Jin-Lin Guan, Lu-Chuan Ceng, Bing Hu
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A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]
In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
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Inertial Viscosity Approximation Methods for General Split Variational Inclusion and Fixed Point Problems in Hilbert Spaces [PDF]
The purpose of this paper is to find a common element of the fixed point set of a nonexpansive mapping and the set of solutions of the general split variational inclusion problem in symmetric Hilbert spaces by using the inertial viscosity iterative ...
Chanjuan Pan, Kunyang Wang
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An Iterative Method for Split Variational Inclusion Problem and Split Fixed Point Problem for Averaged Mappings () [PDF]
Yali Zhao
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The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive ...
Nishu Gupta +3 more
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Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces
In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
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The zeros of monotone operators for the variational inclusion problem in Hilbert spaces
In this paper, we introduce a regularization method for solving the variational inclusion problem of the sum of two monotone operators in real Hilbert spaces.
Pattanapong Tianchai
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A New Variational Inequality with its Application [PDF]
In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
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Modified Proximal Algorithms for Finding Solutions of the Split Variational Inclusions
We investigate the split variational inclusion problem in Hilbert spaces. We propose efficient algorithms in which, in each iteration, the stepsize is chosen self-adaptive, and proves weak and strong convergence theorems. We provide numerical experiments
Suthep Suantai +2 more
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Weak and strong convergence of inertial algorithms for solving split common fixed point problems
In this paper, we propose two iterative schemes for approximating solutions of split common fixed point problems in multiple linear operators case. The first algorithm implements the Krasnosel’skiĭ–Mann iteration with an inertial effect for which the ...
Hong-Yi Chen
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