A Note on tvs-G-Cone Metric Fixed Point Theory
For a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ). Our results generalize some recent results in...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/407071 |
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| _version_ | 1832563751354630144 |
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| author | Ing-Jer Lin Chi-Ming Chen Chao-Hung Chen Tien-Ying Cheng |
| author_facet | Ing-Jer Lin Chi-Ming Chen Chao-Hung Chen Tien-Ying Cheng |
| author_sort | Ing-Jer Lin |
| collection | DOAJ |
| description | For a tvs-G-cone metric space (𝑋,𝐺) and for the family
𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric
ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ). Our results
generalize some recent results in the literature. |
| format | Article |
| id | doaj-art-0b4828913ace46d6b5fd0079da7ccdd4 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0b4828913ace46d6b5fd0079da7ccdd42025-02-03T01:12:30ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/407071407071A Note on tvs-G-Cone Metric Fixed Point TheoryIng-Jer Lin0Chi-Ming Chen1Chao-Hung Chen2Tien-Ying Cheng3Department of Mathematics, National Kaohsiung Normal University, TaiwanDepartment of Applied Mathematics, National Hsinchu University of Education, TaiwanDepartment of Applied Mathematics, Chung Yuan Christian University, TaiwanDepartment of Applied Mathematics, National Hsinchu University of Education, TaiwanFor a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ). Our results generalize some recent results in the literature.http://dx.doi.org/10.1155/2012/407071 |
| spellingShingle | Ing-Jer Lin Chi-Ming Chen Chao-Hung Chen Tien-Ying Cheng A Note on tvs-G-Cone Metric Fixed Point Theory Journal of Applied Mathematics |
| title | A Note on tvs-G-Cone Metric Fixed Point Theory |
| title_full | A Note on tvs-G-Cone Metric Fixed Point Theory |
| title_fullStr | A Note on tvs-G-Cone Metric Fixed Point Theory |
| title_full_unstemmed | A Note on tvs-G-Cone Metric Fixed Point Theory |
| title_short | A Note on tvs-G-Cone Metric Fixed Point Theory |
| title_sort | note on tvs g cone metric fixed point theory |
| url | http://dx.doi.org/10.1155/2012/407071 |
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