A fixed point theorem and its applications to a system of variational inequalities
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Publication:4260283
DOI10.1017/S0004972700033116zbMath0944.47037OpenAlexW2002554619MaRDI QIDQ4260283
Jen-Chih Yao, Qamrul Hasan Ansari
Publication date: 20 September 2000
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972700033116
variational inequalitiesfixed point theoremabstract economyequilibrium existence theoremmultivalued maps defined on product spaces
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Fixed-point theorems (47H10) Set-valued operators (47H04) General equilibrium theory (91B50)
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Cites Work
- A generalization of Tychonoff's fixed point theorem
- Existence of maximal elements and equilibria in linear topological spaces
- On the generalized quasi-variational inequality problems
- Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
- A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
- The fixed point theory of multi-valued mappings in topological vector spaces
- Ein Fixpunktsatz
- Asymmetric variational inequality problems over product sets: Applications and iterative methods
- On Nonlinear Variational Inequalities
- A new fixed point theorem and its applications
- Generalized variational inequalities and its applications
- New fixed point theorems for a family of mappings and applications to problems on sets with convex sections
- Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
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