Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions
In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater th...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2025-04-01
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| Series: | Applied General Topology |
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| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/21350 |
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| author | Naila Shabir Ali Raza Safeer Hussain Khan |
| author_facet | Naila Shabir Ali Raza Safeer Hussain Khan |
| author_sort | Naila Shabir |
| collection | DOAJ |
| description | In this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature. |
| format | Article |
| id | doaj-art-7bb981fda97d45e491bbbd7532646f08 |
| institution | OA Journals |
| issn | 1576-9402 1989-4147 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj-art-7bb981fda97d45e491bbbd7532646f082025-08-20T01:50:50ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472025-04-0126119320210.4995/agt.2025.2135020544Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractionsNaila Shabir0https://orcid.org/0009-0001-8630-0519Ali Raza1https://orcid.org/0000-0002-0616-8520Safeer Hussain Khan2https://orcid.org/0000-0003-2978-1974University of LahoreUniversity of LahoreNorth Carolina Agricultural and Technical State UniversityIn this manuscript, we present innovative findings on the existence and uniqueness of fixed points for cyclic mappings. Our discussion covers results for interpolative Kannan-type cyclic contractions in two cases: when the sum of the interpolative exponents is less than one and when it is greater than one. Additionally, we provide results for interpolative Reich-Rus-Ćirić cyclic contractions specifically for cases where the sum of the interpolative exponents is greater than one. Furthermore, we verify our results with suitable examples. Our results are new and complement some results in the literature.https://polipapers.upv.es/index.php/AGT/article/view/21350fixed pointinterpolative kannan type cyclic contractioninterpolative reich-rus-ćirić type cyclic contraction |
| spellingShingle | Naila Shabir Ali Raza Safeer Hussain Khan Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions Applied General Topology fixed point interpolative kannan type cyclic contraction interpolative reich-rus-ćirić type cyclic contraction |
| title | Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions |
| title_full | Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions |
| title_fullStr | Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions |
| title_full_unstemmed | Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions |
| title_short | Some innovative results for interpolative Kannan type and Reich-Rus-Ćirić type cyclic contractions |
| title_sort | some innovative results for interpolative kannan type and reich rus ciric type cyclic contractions |
| topic | fixed point interpolative kannan type cyclic contraction interpolative reich-rus-ćirić type cyclic contraction |
| url | https://polipapers.upv.es/index.php/AGT/article/view/21350 |
| work_keys_str_mv | AT nailashabir someinnovativeresultsforinterpolativekannantypeandreichruscirictypecycliccontractions AT aliraza someinnovativeresultsforinterpolativekannantypeandreichruscirictypecycliccontractions AT safeerhussainkhan someinnovativeresultsforinterpolativekannantypeandreichruscirictypecycliccontractions |