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Some fixed point results on G-metric and Gb-metric spaces

Jaradat M. M. M., Mustafa Z., Khan S. U., Arshad M., Ahmad J.

Demonstratio Mathematica

2017

Vol. 50, nr 1

190--207

The purpose of this paper is to prove some fixed point results using JS-G-contraction on G-metric spaces, also to prove some fixed point results on Gb-complete metric space for a new contraction. Our results extend and improve some results in the literature. Moreover, some examples are presented to illustrate the validity of our results.

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].

Some fixed point results for mappings in G-metric spaces

Mohanta S. K., Mohanta S.

Demonstratio Mathematica

2014

Vol. 47, nr 1

179--191

We prove a common fixed point theorem for a pair of self mappings satisfying a generalized contractive type condition in a complete G-metric space. We also deal with other fixed point results for a self mapping in the setting of generalized metric space. Our results generalize some recent results in the literature.

Weakly compatible maps of type (A) in G-metric spaces

Manro S., Kumar S., Bhatia S. S.

Demonstratio Mathematica

2012

Vol. 45, nr 4

901-908

In this paper, we introduce the concept of compatible maps and weakly compatible maps of type (A) in G-metric spaces.

R-weakly commuting maps in G-metric spaces

Manro S., Kumar S., Bhatia S. S.

Fasciculi Mathematici

2011

Nr 47

11--17

In this paper, we prove a common xed point theorem for R-weakly commuting maps in G- metric spaces.