Given a set 5 with an irreflexive relation >, define the operators dom and max as follows. For any subset T of S, dom T is the set of all x in 5 such that for some t\nT,t>x; max T= T — dom T. A solution of (S, >) is a subset T of 5 satisfying T = S — dom T. A solution of an w-person game in the sense of [3] is precisely a solution, as just defined, of a certain system (S, >) associated with the...

a fragment of histidine rich protein ii (hrp ii 215-236) was investigated by 14n and 17o electric field gradient, efg, tensor calculations using dft. this study is intended to explore the differences between 310-helix and α-helix of hrpii both in the gas phase and in solution. to achieve the aims, the 17o and 14n nqr parameters of a fragment of hrpii (215-236) for both structures are calculated...

in this paper, we investigate the existence of positive solutions for the ellipticequation $delta^{2},u+c(x)u = lambda f(u)$ on a bounded smooth domain $omega$ of $r^{n}$, $ngeq2$, with navier boundary conditions. we show that there exists an extremal parameter$lambda^{ast}>0$ such that for $lambda< lambda^{ast}$, the above problem has a regular solution butfor $lambda> lambda^{ast}$, the probl...

In this paper, we introduce inertial Tseng’s extragradient algorithms combined with normal-S iteration process for solving variational inequality problems involving pseudo-monotone and Lipschitz continuous operators. Under mild conditions, establish the weak convergence results in Hilbert spaces. Numerical examples are also presented to show that faster behaviour of proposed method.