Suzuki type common fixed point theorem in complete metric space and partial metric space

Abstract

Abstract. In this paper we establish that a pair of compatible mappings have unique common fixed point in metric and partial metric spaces respectively. The mappings are Suzuki type. We give examples to illustrate our results.

Common Best Proximity Point Results for T-GKT Cyclic ϕ-Contraction Mappings in Partial Metric Spaces with Some Applications

“…In 2011, Basha et al [6] showed the existence of common best proximity points in metric spaces. Various interesting works on common fixed point and common best proximity point theory in metric spaces can be found in the literature [7][8][9].…”

On p-h Points and Completeness Property of a Partial Metric Space

“…Since then, many researchers have worked on different aspects, in particular, in the realm of fixed point theory of partial metric spaces. For investigations in partial metric spaces, works of Valero and Oltra [9,15], Romaguera [16], Altun et al [6], Choudhury [2,3] are noteworthy. In this connection it should also be mentioned that before the introduction of partial metric spaces, there were other generalizations of metric spaces, most notably 2metric spaces and generalized metric spaces where fixed point theorems for contractive mappings had been investigated (see for example the work of Das et al [4,10] or Dey et al [17].…”