Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings
In this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction and prove the existence of solutions for the minimization problem in a uniformly convex Banach space. Also, we give some an example for support our main result.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2013-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X12000788 |
| _version_ | 1818700079633006592 |
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| author | Chirasak Mongkolkeha Poom Kumam |
| author_facet | Chirasak Mongkolkeha Poom Kumam |
| author_sort | Chirasak Mongkolkeha |
| collection | DOAJ |
| description | In this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction and prove the existence of solutions for the minimization problem in a uniformly convex Banach space. Also, we give some an example for support our main result. |
| first_indexed | 2024-12-17T14:59:15Z |
| format | Article |
| id | doaj.art-9aa9c864df7c4d0fb44012070e8a49e2 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-17T14:59:15Z |
| publishDate | 2013-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-9aa9c864df7c4d0fb44012070e8a49e22022-12-21T21:43:56ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-07-01212879010.1016/j.joems.2012.12.002Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappingsChirasak MongkolkehaPoom KumamIn this paper, we study the new class of an asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction and prove the existence of solutions for the minimization problem in a uniformly convex Banach space. Also, we give some an example for support our main result.http://www.sciencedirect.com/science/article/pii/S1110256X12000788Best proximity pointProperty UCAsymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction |
| spellingShingle | Chirasak Mongkolkeha Poom Kumam Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings Journal of the Egyptian Mathematical Society Best proximity point Property UC Asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction |
| title | Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings |
| title_full | Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings |
| title_fullStr | Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings |
| title_full_unstemmed | Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings |
| title_short | Best proximity points for asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction mappings |
| title_sort | best proximity points for asymptotic proximal pointwise weaker meir keeler type ψ contraction mappings |
| topic | Best proximity point Property UC Asymptotic proximal pointwise weaker Meir–Keeler-type ψ-contraction |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X12000788 |
| work_keys_str_mv | AT chirasakmongkolkeha bestproximitypointsforasymptoticproximalpointwiseweakermeirkeelertypepscontractionmappings AT poomkumam bestproximitypointsforasymptoticproximalpointwiseweakermeirkeelertypepscontractionmappings |