Quasi-Intersection Problems and Fixed Point Theorems Concerning Separately Scalar Weakly l.s.c and u.s.c Mappings

Quasi-Intersection Problems and Fixed Point Theorems Concerning Separately Scalar Weakly l.s.c and u.s.c Mappings

In this paper, we first prove a new result on quasi-variational inequality problems; then, we use it to show the existence of solutions to quasi-intersection problems. In particular, we establish several results on the existence of solutions to generalized quasi-equilibrium problems and fixed point...

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Veröffentlicht in:Acta mathematica vietnamica 2020-06, Vol.45 (2), p.311-328
Hauptverfasser: Duong, Truong Thi Thuy, Tan, Nguyen Xuan
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Existence theorems
Fixed points (mathematics)
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Mathematics and Statistics
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description In this paper, we first prove a new result on quasi-variational inequality problems; then, we use it to show the existence of solutions to quasi-intersection problems. In particular, we establish several results on the existence of solutions to generalized quasi-equilibrium problems and fixed point problems concerning separately scalar weakly lower and upper semi-continuous mappings. The results in this paper generalize some well-known existence theorems from the literature.
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subjects Existence theorems
Fixed points (mathematics)
Mathematics
Mathematics and Statistics
title Quasi-Intersection Problems and Fixed Point Theorems Concerning Separately Scalar Weakly l.s.c and u.s.c Mappings
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