A new approach to generalized metric spaces

By Zead Mustafa, Brailey Sims. 2006

1,018 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/6695bade7d9e20552fac57cd392d487573a21b55

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Citations in the corpus

On fixed point results for a-implicit contractions in quasi-metric spaces and consequences (2016, background): “In their initial paper, Mustafa and Sims [17] also defined the basic topological concepts in G-metric spaces as follows:”
GENERALIZED CONE METRIC SPACES (2010, background): “To overcome fundamental flaws in Dhage's theory of generalized metric spaces [3], Mustafa and Sims [8] introduced a more appropriate generalization of metric spaces, that of G−metric spaces.”
Some Unique Fixed Point Theorems in Multiplicative Metric Spaces (2014, background): “Mustafa and Sims [10, 11] studied various results on the class of generalized metric spaces.”
Various generalizations of metric spaces and fixed point theorems (2015, background): “In the second mentioned direction, many types of generalized metric spaces were introduced by modifying the metric axioms, such as 2-metric spaces [65], partial metric spaces [100], G-metric spaces [109], cone metric spaces [71] and many others.”
Common fixed point results for three maps in G-metric spaces (2011, background): “Consistent with Mustafa and Sims [8], the following definitions and results will be needed in the sequel.”
Generalized common fixed point theorems in complex valued metric spaces and applications (2012, background): “Many authors generalized and extended the notion of a metric spaces such as a vector-valued metric spaces of Perov [20], a G-metric spaces of Mustafa and Sims [21], a cone metric spaces of Huang and Zhang [22], a modular metric spaces of Chistyakov [23], and etc.”
Bipolar metric spaces and some fixed point theorems (2016, background): “In recent years, these structures have played a more central role in fixed point studies, and many valuable results have been obtained in this context [1, 2, 8, 9].”
Fixed point results on complete G-metric spaces (2011, background): “Proposition 1 (see [11]).”
A generalization of fixed point theorems in $S$-metric spaces (2012, background): “Mustafa and Sims [4] introduced a new structure of generalized metric spaces which are called G-metric spaces as a generalization of metric spaces (X, d) to develop and introduce a new fixed point theory for various mappings in this new structure.”
Fixed Point Theorems in S-Metric Spaces (2015, background): “Sims [7] introduced the concept of G-metric space which is a generalization of metric space, and proved some fixed point theorems in G-metric spaces.”