New coincidence and common fixed point theorems
In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some us...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Universitat Politècnica de València
2009-04-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1792 |
| _version_ | 1819163859764641792 |
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| author | S.L. Singh Apichai Hematulin Rajendra Pant |
| author_facet | S.L. Singh Apichai Hematulin Rajendra Pant |
| author_sort | S.L. Singh |
| collection | DOAJ |
| description | In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given. |
| first_indexed | 2024-12-22T17:50:50Z |
| format | Article |
| id | doaj.art-846235305aa04c7c86d3227659e1e812 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-22T17:50:50Z |
| publishDate | 2009-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-846235305aa04c7c86d3227659e1e8122022-12-21T18:18:11ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472009-04-0110112113010.4995/agt.2009.17921450New coincidence and common fixed point theoremsS.L. SinghApichai HematulinRajendra PantIn this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.http://polipapers.upv.es/index.php/AGT/article/view/1792Coincidence pointFixed pointBanach contractionQuasi-contractionAsymptotic regularity |
| spellingShingle | S.L. Singh Apichai Hematulin Rajendra Pant New coincidence and common fixed point theorems Applied General Topology Coincidence point Fixed point Banach contraction Quasi-contraction Asymptotic regularity |
| title | New coincidence and common fixed point theorems |
| title_full | New coincidence and common fixed point theorems |
| title_fullStr | New coincidence and common fixed point theorems |
| title_full_unstemmed | New coincidence and common fixed point theorems |
| title_short | New coincidence and common fixed point theorems |
| title_sort | new coincidence and common fixed point theorems |
| topic | Coincidence point Fixed point Banach contraction Quasi-contraction Asymptotic regularity |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1792 |
| work_keys_str_mv | AT slsingh newcoincidenceandcommonfixedpointtheorems AT apichaihematulin newcoincidenceandcommonfixedpointtheorems AT rajendrapant newcoincidenceandcommonfixedpointtheorems |