In this study, we present a more general class of rational-type contractions in the domain Hilbert spaces, along with novel coupled implicit relation. We develop several intriguing results and consequences for existence unique fixed points. Further, investigate necessary condition that guarantees well-posedness fixed-point problem self-mappings spaces. Some new observations proposed research br...

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...