Some common fixed point theorems in dislocated metric spaces

Abstract

Our purpose in this paper is to establish some new common fixed point theorems for four self-mappings of a dislocated metric space.

Common fixed point of four self maps on dislocated metric spaces

“…Our result unifies and generalizes the two theorems of Bennani et al [4]. As further application, we give some common fixed theorems in 0-complete weak partial metric spaces.…”

“…From Theorem 2.1, we obtain the following corollary, which unifies the two theorems of Bennani [4]. Corollary 2.2.…”

“…Amini-Haradi [2] re-introduced the dislocated space under the name of a metric-like space and proved some fixed theorems in this space. Very recently, Bennani et al [4] established two new common fixed point theorems for four self maps on dislocated metric spaces, which improved the results of Panthi and Jha [9] without any continuity requirement.…”

Fixed point results for probabilistic φ -contractions in generalized probabilistic metric spaces

“…They are also of fundamental importance in probabilistic functional analysis [14]. Many results regarding generalizations of the notion of Menger PM-space or the existence and uniqueness of fixed points under various types of conditions in Menger PM-spaces have been obtained (see [1], [2], [3], [5], [9], [10], [14]). …”