Graphing Calculator Strategies for Solving Chemical Equilibrium Problems

Some Methods for Solving Quasi-Equilibrium Problems

Let X be a given nonempty closed convex subset in IR and let f : X×X −→ IR be a given bifunction with f(x, x) = 0 for all x ∈ X. We are interested in the following quasi-equilibrium problem { Find x ∈ K(x) such that f(x, y) ≥ 0 ∀ y ∈ K(x) (QEP ) where K(·) is a multivalued mapping X −→ 2 . When the mapping x −→ K(x) is such that K(x) = X for all x ∈ X, (QEP ) reduces naturally to the equilibriu...

Solving the Set Equilibrium Problems

Some Iterative Methods for Solving Equilibrium Problems and Optimization Problems

We introduce a new iterative scheme for finding a common element of the set of solutions of the equilibrium problems, the set of solutions of variational inequality for a relaxed cocoercive mapping, and the set of fixed points of a nonexpansive mapping. The results presented in this paper extend and improve some recent results of Ceng and Yao 2008 , Yao 2007 , S. Takahashi andW. Takahashi 2007 ...

Functional Algebra with the use of the Graphing Calculator

Algebra is a very important topic in mathematical programs for upper secondary education, but a vast majority of students is weak in understanding and using formal algebraic tools. This paper discusses some ideas about using the graphing calculator to support the learning of algebra in the context of functions and to help students overcome algebra-anxiety. Accepting the graphing calculator as a...

Evolutionary Strategies for Solving Frustrated Problems

The main elementary processes and strategies of evolution are investigated and described by simple mathematical models (stochastic networks). Special attention is devoted to Fisher-Eigen type models as well as to Boltzmann-, Darwin-and Haeckel-strategies modelling basic elements of frustrated problems in biological evolution respectively. Several applications of evolutionary strategies to frust...