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A general fixed point theorem on G-metric spaces

Dung N.V.

Fasciculi Mathematici

2014

Nr 52

35--43

In this paper, we prove a general fixed point theorem on G-metric spaces by an implicit relation. This result unifies many fixed point theorems in [3], [6], [9], [12].

Fixed points of F-weak contractions on complete metric spaces

Wardowski D., Dung N.V.

Demonstratio Mathematica

2014

Vol. 47, nr 1

147--155

In this paper, we introduce the notion of an F-weak contraction and prove a fixed point theorem for F-weak contractions. Examples are given to show that our result is a proper extension of some results known in the literature.