Quasi-intersection problems and fixed point theorems concerning separately scalar weakly l.s.c and U.S.c mappings

DOI10.1007/S40306-019-00344-3zbMath1443.49013OpenAlexW2965767815MaRDI QIDQ778146

Nguyen Xuan Tan, Truong Thi Thuy Duong

Publication date: 1 July 2020

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-019-00344-3

zbMATH Keywords

fixed point theoremKy Fan theoremquasi-equilibrium problemBrowder-Ky Fan theoremquasi-intersection problemseparately scalar weakly upper and separately scalar weakly lower semi-continuous mappings

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Programming in abstract spaces (90C48) General equilibrium theory (91B50) Existence theories for problems in abstract spaces (49J27) Variational and other types of inclusions (47J22)

Cites Work

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• On the existence of solutions to generalized quasi-equilibrium problems
• On general minimax theorems
• The studies of systems of variational inclusions problems and variational disclusions problems with applications
• Stability of weak vector variational inequality
• Continuity concepts for set-valued functions and a fundamental duality formula for set-valued optimization
• On the existence of solutions of quasivariational inclusion problems
• Mixed generalized quasi-equilibrium problems
• The fixed point theory of multi-valued mappings in topological vector spaces
• Quasi-Equilibrium Problems and Fixed Point Theorems of Separately l.s.c and u.s.c Mappings
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces

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