Related Suzuki-type fixed point theorems in ordered metric space

Abstract

In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.

Common Fixed Point Theorems forF‐Kannan–Suzuki Type Mappings in TVS‐Valued Cone Metric Space with Some Applications

“…By using generalised metric spaces, Ge and Yang [23] proved a common generalisation of TVS-cone metric spaces, partial metric spaces and b-metric spaces, and a unified approach is proposed for some fixed point results. Later, Suzuki [24] and Rida et al [25] gave a generalisation of the Banach contraction principle that characterises metric completeness.…”