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In this paper, fixed point theorems for Ćirić-Matkowski-type contractions in $$\nu $$ ν -generalized metric spaces are presented. Then, by replacing the distance function d(x, y) with function of the form $$m(x,y)=d(x,y)+\gamma \bigl (d(x,Tx)+d(y,Ty)\bigr )$$ m ( x , y ) = d ( x , y ) + γ ( d ( x , T x ) + d ( y , T y ) ) , where $$\gamma >0$$ γ > 0 , results...
In this paper we survey some concepts of convergence and Cauchyness appeared separately in the context of fuzzy metric spaces in the sense of George and Veeramani. For each convergence (Cauchyness) concept we find a compatible Cauchyness (convergence) concept. We also study the relationship among them and the relationship with compactness and completeness (defined in a natural sense for each one of...
Very recently, Piri and Kumam (Fixed Point Theory Appl 210:11, 2014) improved the concept of F-contraction due to Wardowski (Fixed Point Theory Appl, 2012) by invoking some weaker conditions on mapping F and established some fixed point results in metric spaces. The purpose of this paper is twofold. Firstly, acknowledging the aforesaid idea of Piri and Kumam, a new generalized F-contraction in the...
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