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Chapter and Conference Paper
A Fuzzy Neural Network on the Internet Addiction for University Students in China
The invention of the Internet makes information sharing and transmission more and more convenient and popular in our daily lives. However, excessive dependence over the Internet turning into addictions often r...
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Article
Open AccessAuxiliary principle technique and iterative algorithm for a perturbed system of generalized multi-valued mixed quasi-equilibrium-like problems
In this article, we introduce a perturbed system of generalized mixed quasi-equilibrium-like problems involving multi-valued map**s in Hilbert spaces. To calculate the approximate solutions of the perturbed ...
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Article
Open AccessOn the existence of impulsive neutral evolution differential inclusions with infinite delay
In this paper, we use a fixed point principle regarding a condensing map** with some measure of noncompactness. We assume there is no compactness assumption, and we give sufficient conditions for the existen...
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Article
Open AccessImplicit and explicit iterative methods for mixed equilibria with constraints of system of generalized equilibria and hierarchical fixed point problem
In this paper, we introduce one composite implicit relaxed extragradient-like scheme and another composite explicit relaxed extragradient-like scheme for finding a common solution of a finite family of general...
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Article
Open AccessA viscosity approximation method for weakly relatively nonexpansive map**s by the sunny nonexpansive retractions in Banach spaces
In this paper, we introduce a new viscosity approximation method by using the shrinking projection algorithm to approximate a common fixed point of a countable family of nonlinear map**s in a Banach space. U...
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Article
Open AccessMulti-step extragradient method with regularization for triple hierarchical variational inequalities with variational inclusion and split feasibility constraints
By combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method, and the gradient-projection method with regularization, a hybri...
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Article
Open AccessOn a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems
In this paper, we introduce two iterative algorithms for finding common solutions of a finite family of variational inclusions for maximal monotone and inverse-strongly monotone map**s with the constraints o...
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Article
Open AccessStrong convergence of Halpern iterations for quasi-nonexpansive map**s and accretive operators in Banach spaces
In this paper, we first introduce a new Halpern-type iterative scheme to approximate common fixed points of an infinite family of quasi-nonexpansive map**s and obtain a strongly convergent iterative sequence...