New Extensions of Kannan's and Reich's Fixed Point Theorems for Multivalued Maps Using Wardowski's Technique with Application to Integral Equations
| dc.contributor.author | Debnath, Pradip | |
| dc.contributor.author | Srivastava, H.M. | |
| dc.date.accessioned | 2020-10-06T21:30:40Z | |
| dc.date.available | 2020-10-06T21:30:40Z | |
| dc.date.copyright | 2020 | en_US |
| dc.date.issued | 2020 | |
| dc.description.abstract | The metric function generalizes the concept of distance between two points and hence includes the symmetric property. The aim of this article is to introduce a new and proper extension of Kannan’s fixed point theorem to the case of multivalued maps usingWardowski’s F-contraction. We show that our result is applicable to a class of mappings where neither the multivalued version of Kannan’s theorem nor that of Wardowski’s can be applied to determine the existence of fixed points. Application of our result to the solution of integral equations has been provided. A multivalued Reich type generalized version of the result is also established. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | The authors are thankful to the learned referees for careful reading and valuable comments towards improvement of the manuscript. Research of the first author (P. Debnath) is supported by UGC (Ministry of HRD, Govt. of India) through UGC-BSR Start-Up Grant vide letter No. F.30-452/2018(BSR) dated 12 Feb 2019. | en_US |
| dc.identifier.citation | Debnath, P., & Srivastava, H. M. (2020). New Extensions of Kannan’s and Reich’s Fixed Point Theorems for Multivalued Maps Using Wardowski’s Technique with Application to Integral Equations. Symmetry, 12(7), 1-9. https://doi.org/10.3390/sym12071090. | en_US |
| dc.identifier.uri | https://doi.org/10.3390/sym12071090 | |
| dc.identifier.uri | http://hdl.handle.net/1828/12181 | |
| dc.language.iso | en | en_US |
| dc.publisher | Symmetry | en_US |
| dc.subject | fixed point | |
| dc.subject | multivalued map | |
| dc.subject | F-contraction | |
| dc.subject | complete metric space | |
| dc.subject | integral equation | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | New Extensions of Kannan's and Reich's Fixed Point Theorems for Multivalued Maps Using Wardowski's Technique with Application to Integral Equations | en_US |
| dc.type | Article | en_US |