We introduce viscosity approximations by using the shrinking projection method established by Takahashi, Takeuchi, and Kubota, for finding a common element of the set of solutions of the generalized equilibrium problem and the set of fixed points of a quasi-nonexpansive mapping. Furthermore, we also consider the viscosity shrinking projection method for finding a common element of the set of so...

The main approaches for the formation of generalized conclusions about operation quality of complex hierarchical network systems are analyzed. Advantages and drawbacks of the “weakest” element method and a weighted linear aggregation method are determined. Nonlinear aggregation method is proposed for evaluating the quality of the system, which consists of elements of the same priority. Hybrid a...

We review recent developments of fast analytical methods for macroscopic electrostatic calculations in biological applications, including the Poisson-Boltzmann (PB) and the generalized Born models for electrostatic solvation energy. The focus is on analytical approaches for hybrid solvation models, especially the image charge method for a spherical cavity, and also the generalized Born theory a...

This paper focuses on a strong approximability property for nonlinear affine control systems.We consider control processes governed by ordinary differential equations (ODEs) and study an initial systemand the associated generalized system.Our theoretical approach makes it possible to prove a strong approximability result for the above dynamical systems. The latter can be effectively applied to ...

This paper presents hyperchaos anti-synchronization of different hyperchaotic systems using Active Generalized Backstepping Method (AGBM). The proposed technique is applied to achieve hyperchaos antisynchronization for the Lorenz and Lu dynamical systems. Generalized Backstepping Method (GBM) is similarity to Backstepping and more applications in systems than it. Bckstepping method is used only...

This paper is concerned with the estimators problems of the generalized Weibull distribution based on Type-I hybrid progressive censoring scheme (Type-I PHCS) in the presence of competing risks when the cause of failure of each item is known. Maximum likelihood estimates and the corresponding Fisher information matrix are obtained. We generalized Kundu and Joarder [7] results in the case of the...

We introduce a new hybrid algorithm called the generalized sidelobe decorrelator (GSD) that combines elements of geometric beamforming and blind source separation. On the one hand, it is an extension of the generalized sidelobe canceller (GSC), also known as the Griffiths-Jim beamformer, from the standard criteria of power minimization to a decorrelation criteria. On the other hand, it can be s...

In this paper, we introduce an iterative sequence by using a hybrid generalized f−projection algorithm for finding a common element of the set of fixed points of a relatively weak nonexpansive mapping and the set of solutions of a generalized variational inequality in a Banach space. Our results extend and improve the recent ones announced by Y. Liu [Strong convergence theorems for variational ...