PPF dependent fixed point theorems for an αc-admissible non-self mapping in the Razumikhin class

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Agarwal R.P., Kumam P., Sintunavarat W.

Publisher: SpringerOpen

Publication year: 2013

Journal: Fixed Point Theory and Applications (1687-1820)

Volume number: 2013

ISSN: 1687-1820

eISSN: 1687-1812

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84893638962&doi=10.1186%2f1687-1812-2013-280&partnerID=40&md5=f677a141914f2e5aa7d58a3cea01f16b

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce the concept of αc-admissible non-self mappings and prove the existence and convergence of the past-present-future (briefly, PPF) dependent fixed point theorems for such mappings in the Razumikhin class. We use these results to prove the PPF dependent fixed point of Bernfeld et al. (Appl. Anal. 6:271-280, 1977) and also apply our results to PPF dependent coincidence point theorems. ©2013 Agarwal et al.; licensee Springer.

Keywords

PPF fixed points, rational type contraction, Razumikhin classes