Generalized vector diffraction model for tight focusing of light with arbitrary polarization state
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DOI: 10.1016/j.ijleo.2019.163528
Abstract: Abstract Tight focusing of light with specific polarizations creates distinctive electromagnetic field distributions in the focal region, and plays an essential role in various applications such as scanning laser microscopy, light-matter interaction, and particle manipulation.… read more here.
Keywords: vector; vector diffraction; model; generalized vector ... See more keywords
Existence and Hadamard well-posedness of a system of simultaneous generalized vector quasi-equilibrium problems
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DOI: 10.1186/s13660-017-1330-2
Abstract: An existence result for the solution set of a system of simultaneous generalized vector quasi-equilibrium problems (for short, (SSGVQEP)) is obtained, which improves Theorem 3.1 of the work of Ansari et al. (J. Optim. Theory Appl. 127:27-44,… read more here.
Keywords: well posedness; simultaneous generalized; generalized vector; system simultaneous ... See more keywords
Existence Results for Generalized Vector Quasi-Equilibrium Problems in Hadamard Manifolds
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DOI: 10.3390/axioms12010040
Abstract: The purpose of this article was to establish manifold versions of existence theorems for generalized vector quasi-equilibrium problems in locally compact and σ-compact spaces without any continuity assumption. The fixed-point theorem in a product Hadamard… read more here.
Keywords: generalized vector; quasi equilibrium; existence; vector quasi ... See more keywords
Generalized Vector Quasi-Equilibrium Problems
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DOI: 10.3390/math12060809
Abstract: The aim of this paper is to present new existence results for solutions to a generalized quasi-equilibrium problem with set-valued mappings and moving cones. The key to this approach is a new Browder-type fixed point… read more here.
Keywords: equilibrium problems; vector quasi; generalized vector; equilibrium ... See more keywords