Complementarity problems via common fixed points in vector lattices
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Publication:372537
DOI10.1186/1687-1812-2012-60zbMath1475.47032OpenAlexW2159215499WikidataQ59291488 ScholiaQ59291488MaRDI QIDQ372537
Mujahid Abbas, Abdul Rahim Khan, Sándor Zoltan Németh
Publication date: 8 October 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-60
vector latticecoincidence point equationmutually dominating mapsorder convergenceweak order contractive condition
Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Related Items (3)
Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Common fixed point of \((\psi, \beta)\)-generalized contractive mappings in partially ordered metric spaces ⋮ Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces
Cites Work
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- Common fixed point and invariant approximation in hyperbolic ordered metric spaces
- Common fixed points of almost generalized contractive mappings in ordered metric spaces
- Projection methods, isotone projection cones, and the complementarity problem
- Fixed point theorems for weakly contractive mappings in partially ordered sets
- On fixed points through iteratively generated chains with applications to differential equations
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Iterative methods for nonlinear complementarity problems on isotone projection cones
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
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