The existence of zeros of set-valued mappings in reflexive Banach spaces
DOI10.1007/s11590-013-0696-4zbMath1306.49030OpenAlexW1978179727MaRDI QIDQ479228
Xiang Liu, Jiang-hua Fan, Ren-you Zhong
Publication date: 5 December 2014
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-013-0696-4
set-valued mappingsvariational inequalityduality mappingreflexive Banach spacesfixed-pointzero pointgeneralized projection operatorgeneralized inward mappingquasimonotone mapping
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Set-valued operators (47H04)
Cites Work
- Unnamed Item
- Unnamed Item
- On quasimonotone variational inequalities.
- On the existence of zeros of monotone operators in reflexive Banach spaces
- Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
- Existence of zero points for pseudomonotone operators in Banach spaces
- Zeros of m-accretive operators in Banach spaces
- Variational inequalities and fixed point theorems for PM maps
- Convergence of approximants for demicontinuous pseudo-contractive maps in Hilbert spaces
- The generalized projection operator on reflexive Banach spaces and its applications
- Coercivity conditions and variational inequalities
- Ranges of operators of monotone type in Banach space
- Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
- Existence theorems for set-valued operators in Banach spaces
- Zeros of Nonlinear Monotone Operators in Hilbert Space*
- On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces
- A fixed point index for generalized inward mappings of condensing type
- An invariance of domain result for multi-valued maximal monotone operators whose domains do not necessarily contain any open sets
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- The generalised f-projection operator with an application