Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces

Cyclic Contractions and Related Fixed Point Theorems on G-Metric Spaces

Very recently, Jleli and Samet [53] and Samet et. al. [52] reported that some fixed point result in G-metric spaces can be derived from the fixed point theorems in the setting of usual metric space. In this paper, we prove the existence and uniqueness of fixed points of certain cyclic mappings in the context of G-metric spaces that can not be obtained by usual fixed point results via techniques...

Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result

In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...

Fixed point for generalized contractions on G- metric spaces

We present fixed point results for generalized homotopy contractions on spaces with two G -metric. The focus is on continuation results for such type of mappings. MSC: 54H25 • 46J10

A note on the paper ‘Fixed point theorems for cyclic weak contractions in compact metric spaces’