Some common fixed point theorems for tangential generalized weak contractions in metric-like spaces

Abstract

In this paper we define the tangential property in partial metric spaces and metric-like spaces to prove some common fixed point theorems for two pairs of generalized weakly contractions, some examples are given to illustrate ours results.

Fixed points for SF-GF-contractive mappings type

“…Banach provided the first fixed point theorem in complete metric spaces, which was generalized in different fields, and one of these generalizations was given by Berinde [1], where he introduced the concept of quasicontraction as a generalization of the weak contraction, in the sense of Berinde. Subsequently, several results were obtained, for example, see [2,3,4,19]. Recently, Babu et al [5] introduced a contractive condition, namely "condition (B)", and they proved important results of a fixed point for this contractive condition mappings, similarly, Ćirić et al [6] introduced the concept of generalized quasi-contraction condition and shown some results of existence of fixed point in ordered metric spaces.…”