this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

Sunspot equilibrium and lottery equilibrium are two stochastic solution concepts for nonstochastic economies. We compare these concepts in a class of completely finite, (possibly) nonconvex exchange economies with perfect markets, which requires extending the lottery model to the finite case. Every equilibrium allocation of our lottery model is also a sunspot equilibrium allocation. The convers...

We derive the closed-form solution characterizing the equilibrium in a circular-city model with competing firms of heterogeneous production costs. Tractability issues in this setting are well known and have not been resolved in prior work. In this paper, the equilibrium solution illustrates effects of production costs on firms’ strategic decisions, their aggregate profit, and consumer surplus.

We consider the problem of fairly allocating a bundle of infinitely divisible goods among a group of agents with “classical” preferences. We propose to measure an agent’s “sacrifice” at an allocation by the size of the set of feasible bundles that the agent prefers to her consumption. As a solution, we select the allocations at which sacrifices are equal across agents and this common sacrifice ...

We investigate the global stability character of the equilibrium points and the period-two solutions of yn+1 = (pyn + yn−1)/(r + qyn + yn−1), n = 0,1, . . . , with positive parameters and nonnegative initial conditions. We show that every solution of the equation in the title converges to either the zero equilibrium, the positive equilibrium, or the period-two solution, for all values of parame...

the interaction between benzo-15-crown-5 (b15c5), dibenzo-18-crown-6 (db18c6), dibenzyl-daza-18crown-6 (dbzda18c6), n-phenyl-aza-15-crown-5 (npha15c5) and dibenzopyridine-18-crown-6 (dbpy18c6) with π-acceptor 2,3-dichloro-5,6-dicyanobenzoquinone (ddq) in chloroform solution was studied spectrophotometrically. the interaction of b15c5-ddq and db18c6-ddq caused the formation of 1:1 charge transfe...

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...

plants uptake boron (b) from the soil solution, in which boron concentration is controlled by adsorption and desorption reactions on soil organic and inorganic colloids. considering the importance of aluminosilicate minerals in ion adsorption and desorption reactions in soil, in this research, b adsorption behavior on kaolinite was studied as a function of equilibrium concentration, ph, kaolini...

a good understanding of adsorption equilibrium and thermodynamics is required to design and operate an adsorption process. this study was conducted to assess the adsorption percentage of pb2+ ions as a function of contact time, solution ph and temperatures, and adsorbent dosage through a series of batch experiments. the methods including zeta potentials, specific surface area measurements and t...

background and purpose: recently, release of pollutants such as heavy metal ions to the environment becomes one of the most important problems for soil and water. the present study was conducted to introduce modified rice husk (rh) as a new low-cost adsorbent. materials and methods: in this study, tartaric acid modified rh (tarh), was used as an adsorbent for removal of ni(ii) and cd(ii) from w...