Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces
By Zead Mustafa, H. Obiedat, Fadi Awawdeh. 2008
377 citations recorded by the source corpus.
We prove some fixed point results for mapping satisfying sufficient conditions on complete -metric space, also we showed that if the -metric space is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space , where is the usual metric space which defined from the -metric space .
View Paper: https://www.semanticscholar.org/paper/471499f5b5b57f8adce277e811d31ec8fe44d646
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Citations in the corpus
- Common fixed points of R-weakly commuting maps in generalized metric spaces (2011, background): “[2-6] obtained some fixed point theorems for mappings satisfying different contractive conditions.”
- A generalization of fixed point theorems in $S$-metric spaces (2012, background): “Some authors [1, 5, 13] have proved some fixed point theorems in these spaces.”
- GENERALIZED CONE METRIC SPACES (2010, background): “Afterwards, Mustafa et. el [6] obtained several fixed point theorems for mappings satisfying different contractive conditions in G−metric spaces.”
- Various generalizations of metric spaces and fixed point theorems (2015, background): “This notion attracted many authors and various kinds of fixed point theorems for maps on G-metric spaces were proved, for example see [24,25,103,104,110,133] and references therein.”
- Common fixed point results for three maps in G-metric spaces (2011, background): “[7, 9, 10, 11] obtained some fixed point theorems for mappings satisfying different contractive conditions.”