Algorithms of the Hybrid Projection Method for Analysis of Electromagnetic Scattering by Radially Inhomogeneous Cylinders

2016 ◽  
Author(s):  
Alina R. Gabdullina ◽  
Olga N. Smolnikova ◽  
Sergei P. Skobelev
Keyword(s):  
Projection Method ◽  
Electromagnetic Scattering ◽  
Hybrid Projection Method ◽  
Radially Inhomogeneous

Hybrid projection method for a system of unrelated generalized mixed variational-like inequality problems

2019 ◽  
Vol 26 (1) ◽  
pp. 63-78
Author(s):  
Kaleem Raza Kazmi ◽  
Rehan Ali
Keyword(s):  
Banach Space ◽  
Projection Method ◽  
Nonexpansive Mappings ◽  
Fixed Point Problem ◽  
Solution Set ◽  
Common Element ◽  
Monotone Mappings ◽  
Point Problem ◽  
Existence Of A Solution ◽  
Hybrid Projection Method

Abstract The aim of this paper is to consider a generalized mixed variational-like inequality problem and prove a Minty-type lemma for its related auxiliary problems in a real Banach space. We prove the existence of a solution of these auxiliary problems. Further, we prove some properties of a solution set of generalized mixed variational-like inequality problems. Furthermore, we use a hybrid projection method to find a common element of a solution set of a system of unrelated generalized mixed variational-like inequality problems for generalized relaxed α-monotone mappings and the set of fixed points of a common fixed point problem for a family of generalized asymptotically quasi-ϕ-nonexpansive mappings in a reflexive, uniformly smooth and strictly convex Banach space.

On the hybrid projection method for fixed point and equilibrium problems

Top ◽  
2011 ◽  
Vol 21 (2) ◽  
pp. 341-354
Author(s):  
Xiaolong Qin ◽  
Sun Young Cho ◽  
Shin Min Kang ◽  
Feng Gu
Keyword(s):  
Fixed Point ◽  
Projection Method ◽  
Equilibrium Problems ◽  
Hybrid Projection Method
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