Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces
We introduce the notions of the asymptotic SMK-sequence with respect to the stronger Meir-Keeler cone-type mapping ξ:int(P)∪{θ}→[0,1) and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping ϕ:int(P)∪{θ}→int(P)∪{θ} and prove some common fixed point theorems for these...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/127521 |
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| _version_ | 1849398041143934976 |
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| author | Chi-Ming Chen |
| author_facet | Chi-Ming Chen |
| author_sort | Chi-Ming Chen |
| collection | DOAJ |
| description | We introduce the notions of the asymptotic SMK-sequence with respect to the stronger Meir-Keeler cone-type mapping ξ:int(P)∪{θ}→[0,1) and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping ϕ:int(P)∪{θ}→int(P)∪{θ} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone P. Our results generalize some recent results. |
| format | Article |
| id | doaj-art-a2651dbd10e54ac4b3f81a6a6c12e79e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a2651dbd10e54ac4b3f81a6a6c12e79e2025-08-20T03:38:44ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/127521127521Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric SpacesChi-Ming Chen0Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu 300, TaiwanWe introduce the notions of the asymptotic SMK-sequence with respect to the stronger Meir-Keeler cone-type mapping ξ:int(P)∪{θ}→[0,1) and the asymptotic WMK-sequence with respect to the weaker Meir-Keeler cone-type mapping ϕ:int(P)∪{θ}→int(P)∪{θ} and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular cone P. Our results generalize some recent results.http://dx.doi.org/10.1155/2011/127521 |
| spellingShingle | Chi-Ming Chen Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces Journal of Applied Mathematics |
| title | Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces |
| title_full | Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces |
| title_fullStr | Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces |
| title_full_unstemmed | Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces |
| title_short | Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces |
| title_sort | common fixed point theorems of the asymptotic sequences in ordered cone metric spaces |
| url | http://dx.doi.org/10.1155/2011/127521 |
| work_keys_str_mv | AT chimingchen commonfixedpointtheoremsoftheasymptoticsequencesinorderedconemetricspaces |