This is a review paper based on recent article FG- coupled fixed points [17], in which the authors established point theorems partially ordered complete S∗ metric space. The results were illustrated by suitable examples, too. An an n-tuple from n-product of set to non negative reals. [17] generalizes main Gnana Bhaskar and Lakshmikantham [5].

We study the stability of synchronized fixed-point state for linear fractional-order coupled map lattice(CML). observe that eigenvalues connectivity matrix determine as integer-order CML. These can be determined exactly in certain cases. find exact bounds one-dimensional lattice with translationally invariant coupling using theory circulant matrices. This extended to any finite dimension. Simil...