Abstract In this paper, we present three distributed algorithms to solve a class of Generalized Nash Equilibrium (GNE) seeking problems in strongly monotone games. The first one (SD-GENO) is based on synchronous updates the agents, while second and third (AD-GEED AD-GENO) represent asynchronous solutions that are robust communication delays. AD-GENO can be seen as refinement AD-GEED, since it o...

We define several sorts of mappings on a poset like monotone, strictly upper cone preserving and variants these. Our aim is to characterize posets in which some these coincide. special determined by two elements investigate when are monotone or preserving. If the considered semilattice then its coincide with homomorphisms if only chain. Similarly, we study need not be semilattices but whose con...

Symmetries play an important role in the dynamics of physical systems. As example, quantum physics and microworld are basis symmetry principles. These problems reduced to solving inequalities general. That is why this article, we study numerical approximation solutions variational inequality involving quasimonotone operators infinite-dimensional real Hilbert space. We prove that iterative seque...

For strongly competitive discrete-time dynamical systems on a strongly ordered topological vector space, it is proved that any αor ω-limit set is unordered and lies on some invariant hypersurface with codimension one, which generalizes Hirsch’s results for competitive autonomous systems of ordinary differential equations to competitive maps in a very general framework and implies the Sarkovskii...

In the recent work, a new hybrid technique for computing common solution of fixed point finite family two non-expansive mapping and variational inequality problem inverse strongly monotone in real Hilbert space is provided. We also demonstrate convergence approach using an example.