Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces
We introduce some new types of pairs of mappings (𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly commuting of type (𝐴𝑓). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illust...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/248937 |
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| author | Zead Mustafa |
| author_facet | Zead Mustafa |
| author_sort | Zead Mustafa |
| collection | DOAJ |
| description | We introduce some new types of pairs of mappings
(𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly
commuting of type (𝐴𝑓). We obtain also several common fixed point
results for these mappings under certain contractive condition in G-metric
space. Also some examples illustrated to support our results, and comparison
between different types of pairs of mappings are studied. |
| format | Article |
| id | doaj-art-7d1abb91713f45ad9c511750ce124837 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7d1abb91713f45ad9c511750ce1248372025-08-20T02:07:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/248937248937Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric SpacesZead Mustafa0Department of Mathematics, The Hashemite University, P.O. Box 330127, Zarqa 13115, JordanWe introduce some new types of pairs of mappings (𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly commuting of type (𝐴𝑓). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.http://dx.doi.org/10.1155/2012/248937 |
| spellingShingle | Zead Mustafa Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces Journal of Applied Mathematics |
| title | Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces |
| title_full | Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces |
| title_fullStr | Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces |
| title_full_unstemmed | Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces |
| title_short | Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces |
| title_sort | some new common fixed point theorems under strict contractive conditions in g metric spaces |
| url | http://dx.doi.org/10.1155/2012/248937 |
| work_keys_str_mv | AT zeadmustafa somenewcommonfixedpointtheoremsunderstrictcontractiveconditionsingmetricspaces |