From quasivariational inclusion problems to Stampacchia vector quasiequilibrium problems, Stampacchia set-valued vector Ekeland's variational principle and Caristi's fixed point theorem

DOI10.1016/j.na.2008.10.077zbMath1163.49016OpenAlexW1978594424MaRDI QIDQ1021709

Sung-Yu Wang, Lai-Jiu Lin, Chih-Sheng Chuang

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.077

zbMATH Keywords

Caristi's fixed point theoremvariational inclusion problemStampacchia generalized vector quasiequilibrium problemStampacchia set-valued vector Ekeland's variational principle

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10)

Related Items (9)

GENERALIZED IMPLICIT INCLUSION PROBLEMS ON NONCOMPACT SETS WITH APPLICATIONS ⋮ New existence theorems for quasi-equilibrium problems and a minimax theorem on complete metric spaces ⋮ Henig proper generalized vector quasiequilibrium problems ⋮ Critical point theorems and Ekeland type variational principle with applications ⋮ Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems ⋮ Existence and stability of solutions for implicit multivalued vector equilibrium problems ⋮ Invariant-point theorems and existence of solutions to optimization-related problems ⋮ Ekeland type variational principle with applications to quasi-variational inclusion problems ⋮ New Results on Henig Proper Generalized Vector Quasiequilibrium Problems

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