Fixed Point Theory for Contractive Mappings Satisfying -Maps in -Metric Spaces
By Wasfi A. Shatanawi. 2010
175 citations recorded by the source corpus.
We prove some fixed point results for self-mapping in a complete -metric space under some contractive conditions related to a nondecreasing map with for all . Also, we prove the uniqueness of such fixed point, as well as studying the -continuity of such fixed point.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/8934069cb1652e37a889b33d11fc217a18c5f5c7
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In Geometry and Topology
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- Jamal Rezaei Roshan
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- Stojan Radenovic
- Zoran Kadelburg
Citations in the corpus
- Common fixed points of R-weakly commuting maps in generalized metric spaces (2011, background): “Recently, Shatanawi [11] obtained fixed points of F-maps in G-metric spaces.”
- 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].”