Abstract This paper is devoted to the study of a class generalized nonexpansive mappings called nearly asymptotically and show that it properly includes mappings. We investigate problem approximating common element set solutions system nonlinear variational-like inclusions involving P - η -accretive fixed points mapping. To this end, we suggest new iterative algorithm with mixed errors. As an a...

We prove that a certain class of elliptic free boundary problems, which includes the Prandtl–Batchelor problem from fluid dynamics as special case, has two distinct nontrivial solutions for large values parameter. The first solution is global minimizer energy. energy functional nondifferentiable, so standard variational arguments cannot be used directly to obtain second solution. our limit moun...

We show that every bounded, continuous at infinity game of perfect information has an ε−perfect equilibrium. Our method consists of approximating the payoff function of each player by a sequence of simple functions, and to consider the corresponding sequence of games, each differing form the original game only on the payoff function. In addition, this approach yields a new characterization of p...

Lasserre's moment-SOS hierarchy consists of approximating instances the generalized moment problem (GMP) with relaxations and sums-of-squares (SOS) strenghtenings that boil down to convex semidefinite programming (SDP) problems. Due generality initial GMP, applications this technology are countless, one can cite among them polynomial optimization (POP), optimal control (OCP), volume computation...

In order to solve an initial value problem by the variational iteration method, a sequence of functions is produced which converges to the solution under some suitable conditions. In the nonlinear case, after a few iterations the terms of the sequence become complicated, and therefore, computing a highly accurate solution would be difficult or even impossible. In this paper, for one-dimensional...