An (α, ϑ) -admissibility and theorems for fixed points of self-maps

Book chapter abstract

Authors/Editors

POOM KUMAM

Strategic Research Themes

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Publication Details

Author list: Khan A., Shah K., Kumam P., Onsod W.

Publisher: Springer Verlag

Publication year: 2018

Volume number: 760

Start page: 369

End page: 380

Number of pages: 12

ISBN: 978-3-319-73149-0

ISSN: 1860-949X

eISSN: 1860-949X

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85038812055&doi=10.1007%2f978-3-319-73150-6_30&partnerID=40&md5=97ae802f84d2611adeab6f4c2bbae4e5

Languages: English-Great Britain (EN-GB)

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Abstract

We introduce (α, ϑ) -admissibility and an (Υ, ℘) -integral-type contraction with applications to new fixed point theorems for the admissible and continuous mapping F: X→ X on a complete metric space (X,Â d). For the application, an interesting example is added which demonstrate our results. © 2018, Springer International Publishing AG.

Keywords

Fixed point theorems, Integral-type contractions, Self continuous mappings