A very engrossing technique in theory of contractive mapping fixed point. number authors have defined type mappings on a cone metric spaces X which are generalization the well -known Banach contraction, and property that each such has unique The point can always be found by using Picard Iteration, opening with initial choice x0∈X. In this manuscript, we generalize, extend improve res...

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...

Global asymptotic stability of rational difference equations is an area of research that has been well studied. In contrast to the many current methods for proving global asymptotic stability, we propose an algorithmic approach. The algorithm we summarize here employs the idea of contractions. Given a particular rational difference equation, defined by a function Q : R → R, we attempt to find a...

The notion of symmetry is the main property a metric function. area fixed point theory has suitable structure for in mathematics. goal this paper to find and common results bicomplex valued b-metric space mixed type rational contractions with control functions. Some well-known literature findings were generalized our findings. We provide an example strengthen validate results. As example, conte...