We represent irreversible reactions as limits of reversible steps and obtain the principle of detailed balance for complex mechanisms with some irreversible elementary processes.
In order to obtain the principle components (t_{i}) ((i = 1,2, ldots,q), (q) is the number of principle component) that can not only represent the independent variables, but also explain the dependent variable as much as possible, the nonlinear iterative algorithm is needed (You et al. 2013).
After obtaining the principles of theory and also the method of semiology, they are redefined in an architectural system based on an adaptive method.
In 2013, Dehghan [11] obtained the demiclosed principle of such mappings and approximated their fixed points using (P_{T}).
In [10], the authors also obtained the demiclosed principle, fixed point theorems as well as Δ-convergence theorems for generalized hybrid mappings in CAT ( 0 ) spaces.
Among other things, under some suitable assumptions, Karapınar et al. [24] obtained the demiclosed principle, fixed point theorems, and convergence theorems for the following iteration.
Recently, a new method for treating this problem is to see z as a control process and the terminal condition y(T =ϕ(x(T)) as a constraint, and then use the Ekeland variational principle to obtain the maximum principle.
The equilibrium equations of each region are obtained using the principle of minimum total potential energy.
Thus, we are only interested in the value obtained from the principle branch, which will result in.
The governing equations and boundary conditions are variationally obtained through the Principle of Virtual Displacements.
