? H - ? H -Multivalued Contractive Mappings and Related Results in Complete Metric Spaces with an Application

Pooja Dhawan, Kapil Jain and Jatinderdeep Kaur
Additional contact information
Pooja Dhawan: Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India
Kapil Jain: Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India
Jatinderdeep Kaur: Thapar Institute of Engineering and Technology, Patiala, Punjab 147004, India

Mathematics, 2019, vol. 7, issue 1, 1-15

Abstract: In the present article, the notion of α H - ψ H -multivalued contractive type mappings is introduced and some fixed point results in complete metric spaces are studied. These theorems generalize Nadler’s (Multivalued contraction mappings, Pac. J. Math., 30, 475–488, 1969) and Suzuki-Kikkawa’s (Three fixed point theorems for generalized contractions with constants in complete metric spaces, Nonlinear Anal., 69, 2942–2949, 2008) results that exist in the literature. The effectiveness of the obtained results has been verified with the help of some comparative examples. Moreover, a homotopy result has been presented as an application.

Keywords: complete metric space; homotopy; multivalued contractive mappings (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/1/68/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/1/68/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:1:p:68-:d:196262

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().