Interpolative Kannan Contractions in$T_0$-Quasi-Metric Spaces

Abstract

In this paper, we update the well-known fixed point theorem of Kannan using the interpolation notion in the realm of quasi-metric spaces. We consider some asymmetric versions. We also present some illustrative examples in support of the obtained results.

The uniqueness and existence of solutions in a new complex function space for Kannan nonlinear dynamical systems

“…In addition, several fixed point findings of Kannan non-expansive operators on generalized Cesàro backward difference sequence space of a non-absolute type were discovered in [7]. Among the Kannan fixed point results, we refer the reader to Gaba et al [17] and Aydi et al [3]. By N, R, and C, we will indicate the sets of non-negative integers, real and complex numbers, respectively.…”

On Weak Interpolative Contractions With Application to Homotopy Theory

“…After then, some authors proved some fixed point results for the classes of these mappings in the setting of metric spaces (see, e.g., [10][11][12][13]).…”