In this paper, we introduce the new concept of a generalization of contraction so-called ϕ E -Geraghty contraction and we establish a fixed point theorem for such mappings in complete metric spaces.
The aim of this paper is to state and prove Wardowski type fixed point theorem in metric spaces. The paper includes an example which shows that our result is a proper extension of some known results.
In this paper we extend the result of Geraghty([4],[5]) about φcontractions, starting from the papers of O.Popescu([7]) respectively A.Fulga, A. Proca ([2]). We introduce a new notation and we establish a fixed point theorem for such mapping in a complete metric space.
In this paper, we give a Ciric type fixed point theorem in a complete metric space; this theorem extends other well-known fixed point theorems ([7], [8], [9]). Two examples are given to demonstrate the importance of our work.
In this paper, we extend the results of Wardowski by applying some new conditions on the self map on a complete metric space, concerning the Fcontractions defined by Wardowski. We present some fixed point results of Wardowski type. An example is given to demonstrate the novelty of our work.
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