Fixed Point Theorems for Contractive Mappings in Complete -Metric Spaces
By Zead Mustafa, Brailey Sims. 2009
278 citations recorded by the source corpus.
We prove some fixed point results for mappings satisfying various contractive conditions on Complete -metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are -continuous on such fixed points.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/fb0ec54dd68d1475ce4c769fcb1a9a4c999bd947
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In Geometry and Topology
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Citations in the corpus
- 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.”
- Common fixed points of R-weakly commuting maps in generalized metric spaces (2011, background): “8 in [4] are special cases of our results Theorem 2.”
- Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces (2014, background): “Since then, many authors obtained fixed and common fixed point results in the setup of G-metric spaces [1, 7, 11, 13, 14, 16, 18, 19].”