Coincidences and fixed points of reciprocally continuous and compatible hybrid maps
It is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2002-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007536 |
| id |
doaj-4cd029ff2949404785c9760763241afc |
|---|---|
| record_format |
Article |
| spelling |
doaj-4cd029ff2949404785c9760763241afc2020-11-24T23:51:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01301062763510.1155/S0161171202007536Coincidences and fixed points of reciprocally continuous and compatible hybrid mapsS. L. Singh0S. N. Mishra1Department of Mathematics, Gurukula Kangri Vishwavidyalaya, Hardwar 249404, IndiaDepartment of Mathematics, University of Transkei, Umtata 5100, South AfricaIt is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point theorems for single-valued and multivalued maps on metric spaces under tight minimal conditions.http://dx.doi.org/10.1155/S0161171202007536 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. L. Singh S. N. Mishra |
| spellingShingle |
S. L. Singh S. N. Mishra Coincidences and fixed points of reciprocally continuous and compatible hybrid maps International Journal of Mathematics and Mathematical Sciences |
| author_facet |
S. L. Singh S. N. Mishra |
| author_sort |
S. L. Singh |
| title |
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| title_short |
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| title_full |
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| title_fullStr |
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| title_full_unstemmed |
Coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| title_sort |
coincidences and fixed points of reciprocally continuous and compatible hybrid maps |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2002-01-01 |
| description |
It is proved that a pair of reciprocally continuous and nonvacuously compatible single-valued and multivalued maps on a metric space possesses a coincidence. Besides addressing two historical problems in fixed point theory, this result is applied to obtain new general coincidence and fixed point theorems for single-valued and multivalued maps on metric spaces under tight minimal conditions. |
| url |
http://dx.doi.org/10.1155/S0161171202007536 |
| work_keys_str_mv |
AT slsingh coincidencesandfixedpointsofreciprocallycontinuousandcompatiblehybridmaps AT snmishra coincidencesandfixedpointsofreciprocallycontinuousandcompatiblehybridmaps |
| _version_ |
1725475707360903168 |