Some Common Fixed Point Theorems in Menger PM Spaces
<p/> <p>Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as <inline-formula> <graphic file="...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://www.fixedpointtheoryandapplications.com/content/2010/819269 |
| _version_ | 1818929453810581504 |
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| author | Tanveer M Hasan M Imdad M |
| author_facet | Tanveer M Hasan M Imdad M |
| author_sort | Tanveer M |
| collection | DOAJ |
| description | <p/> <p>Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as <inline-formula> <graphic file="1687-1812-2010-819269-i1.gif"/></inline-formula>-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in (Branciari, (2002); Rhoades, (2003); Vijayaraju et al., (2005)) and also some others in Menger as well as metric spaces. Some related results are also derived besides furnishing illustrative examples.</p> |
| first_indexed | 2024-12-20T03:45:03Z |
| format | Article |
| id | doaj.art-e499c340b7ef4ac2b1c2686d08ebf591 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-12-20T03:45:03Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-e499c340b7ef4ac2b1c2686d08ebf5912022-12-21T19:54:38ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101819269Some Common Fixed Point Theorems in Menger PM SpacesTanveer MHasan MImdad M<p/> <p>Employing the common property (E.A), we prove some common fixed point theorems for weakly compatible mappings via an implicit relation in Menger PM spaces. Some results on similar lines satisfying quasicontraction condition as well as <inline-formula> <graphic file="1687-1812-2010-819269-i1.gif"/></inline-formula>-type contraction condition are also proved in Menger PM spaces. Our results substantially improve the corresponding theorems contained in (Branciari, (2002); Rhoades, (2003); Vijayaraju et al., (2005)) and also some others in Menger as well as metric spaces. Some related results are also derived besides furnishing illustrative examples.</p>http://www.fixedpointtheoryandapplications.com/content/2010/819269 |
| spellingShingle | Tanveer M Hasan M Imdad M Some Common Fixed Point Theorems in Menger PM Spaces Fixed Point Theory and Applications |
| title | Some Common Fixed Point Theorems in Menger PM Spaces |
| title_full | Some Common Fixed Point Theorems in Menger PM Spaces |
| title_fullStr | Some Common Fixed Point Theorems in Menger PM Spaces |
| title_full_unstemmed | Some Common Fixed Point Theorems in Menger PM Spaces |
| title_short | Some Common Fixed Point Theorems in Menger PM Spaces |
| title_sort | some common fixed point theorems in menger pm spaces |
| url | http://www.fixedpointtheoryandapplications.com/content/2010/819269 |
| work_keys_str_mv | AT tanveerm somecommonfixedpointtheoremsinmengerpmspaces AT hasanm somecommonfixedpointtheoremsinmengerpmspaces AT imdadm somecommonfixedpointtheoremsinmengerpmspaces |