In this paper, we introduce two concepts of weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in Banach spaces. Then we obtain some results of the solutions existence for a system of vector variational-like inequalities with weakly relaxed ${eta_gamma-alpha_gamma}_{gamma in Gamma}$ pseudomonotone and demipseudomonotone mappings in reflexive...

We show that the variational inequality $VI(C,A)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-Lipschitzian mapping $A: Cto H$ with $r>gamma mu^2$, where$C$ is a nonempty closed convex subset of a Hilbert space $H$. Fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not...

we show that the variational inequality $vi(c,a)$ has aunique solution for a relaxed $(gamma , r)$-cocoercive,$mu$-lipschitzian mapping $a: cto h$ with $r>gamma mu^2$, where$c$ is a nonempty closed convex subset of a hilbert space $h$. fromthis result, it can be derived that, for example, the recentalgorithms given in the references of this paper, despite theirbecoming more complicated, are not...

objective: to obtain abnormalities in quantitative electroencephalography qeeg) and to observe connectivity between electrodes in children with asperger disorder. method: in this study, spectrogram criteria and coherence values are used as a tool for evaluating qeeg in 15 children with asperger disorder (10 boys and 5 girls aged between 6 to 11 years old) and in 11 control children boys and 4 g...

Abstract Recently, the LHAASO collaboration has observed gamma rays of energies up to ten TeV from gamma-ray burst GRB221009A, which stimulated community astronomy, particle physics and astrophysics propose various possible interpretations. In this paper, we put forward a viable scenario that neutrinos are produced together with photons in gradually decay into axion-like particles, then convert...

Nontrivial periodic solutions of Lagrange Equations are investigated. Sublinear and superlinear nonlinearity are included. Convexity assumptions are significiently relaxed. The method used is the duality developed by the authors.

In this paper, we describe our system used in the NEWS 2011 machine transliteration shared task. Our system consists of two main components: simple strategies for generating training examples based on character alignment, and discriminative training based on the Margin Infused Relaxed Algorithm. We submitted results for 10 language pairs on standard runs. Our system achieves the best performanc...

Abstract Relaxed clock models are fundamental in Bayesian dating, but a single distribution characterizing the variation is typically selected. Hence, I developed new reversible-jump Markov chain Monte Carlo (rjMCMC) algorithm for drawing posterior samples between independent lognormal (ILN) and gamma rates (IGR) models. The ability of rjMCMC to infer true model was verified through simulations...

We investigate i.i.d. random complex dynamical systems generated by probability measures on finite unions of the loci holomorphic families rational maps Riemann sphere $$\hat{\mathbb {C}}.$$ show that under certain conditions families, for a generic system, (especially, polynomial system,) all but countably many initial values $$z\in \hat{\mathbb {C}}$$ , almost every sequence $$\gamma =(\gamma...