The goal of this paper is to study the parametric vector equilibrium problems governed by vector topologically pseudomonotone maps. The main result gives sufficient conditions for closedness of the solution map defined on the set of parameters.

The carotenoid peridinin is abundant in the biosphere, as it is the main pigment bound by the light-harvesting complexes of dinoflagellates, where it collects blue and green sunlight and transfers energy to chlorophyll a with high efficiency. Its molecular structure is particularly complex, giving rise to an intricate excited state manifold, which includes a state with charge-transfer character...

A supply chain network equilibrium problem was recently formulated using the variational inequality approach and solved with the modified projection method. Assuming the vector function F that enters the variational inequality is strictly monotone and Lipschitz continuous (and that a solution exists). The realization of the modified projection algorithm for the supply chain network equilibrium ...

Experimental techniques are now available which can probe the intricacies of carbohydrate structures, equilibria and dynamics. The development of theoretical tools has not kept pace with this progress; the reliance on hard sphere models and orientational averaging is unlikely to reveal the true nature of the phenomena involved. Computer simulation of PHCs in solution may, in the hands of expert...

The paper introduces an axiomatic characterization of a solution to bargaining problems. The bargaining problems addressed are specified by: (a) the preference relations of the bargaining parties (b) resources that are the subject of bargaining, and (c) a pre-specified disagreement bundle for each party that would result in case bargaining fails. The approach is ordinal in that parties’ prefere...

Solutions of nitrous acid in dilute (0.1 M HCI) or more concentrated ( 5 M HCIOJ acid exhibit a contribution to the ultraviolet absorbance that is quadratic in [HN02]. In dilute acid this excess absorbance is attributed to N2O3 formed through equilibrium 1, 2HN02 = N2O3 + H20. From the measured spectrum of eNf13KI vs. wavelength (245-260 nm) and by comparison with tNS, obtained in pulse radioly...

Mathematical programming problems with equilibrium constraints (MPEC) are nonlinear programming problems where the constraints have a form that is analogous to first-order optimality conditions of constrained optimization. We prove that, under reasonable sufficient conditions, stationary points of the sum of squares of the constraints are feasible points of the MPEC. In usual formulations of MP...

We introduce a new solution concept for complete information games, which we call equilibrium in group dominant strategies. This concept is the strongest of all known solution concepts so far, since it encompasses both the ideas behind the concepts of dominant strategies and strong equilibrium. Because of its strength, a solution in group dominant strategies does not exist in any interesting ga...

Theorem 1. (i) If p > 1, then the unique equilibrium 0 of (1) is globally asymptotically stable. (ii) If p = 1, then every positive solution of (1) converges to a period-two solution. (iii) If 0 < p < 1, then 0 and x = 1− p are the only equilibrium points of (1), and every positive solution {xn}n=−1 of (1) with (xN − x)(xN+1 − x) < 0 for some N ≥ −1 is unbounded. They proposed the following ope...

we introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the so...