Some PPF Dependent Fixed Point Theorems for Generalized ? - F -Contractions in Banach Spaces and Applications

Yeol Je Cho, Shin Min Kang and Peyman Salimi
Additional contact information
Yeol Je Cho: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Shin Min Kang: Department of Mathematics and the RINS, Gyeongsang National University, Jinju 52828, Korea
Peyman Salimi: Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, P.O. Box 3516-41335, Rasht, Iran

Mathematics, 2018, vol. 6, issue 11, 1-19

Abstract: In this paper, we introduce the concepts of an α -admissible nonself-mapping, an α - F -contractive nonself-mapping, a weak α - F -contractive nonself-mapping, and a generalized α - F -contractive nonself-mapping and prove some P P F (past-present-future)-dependent fixed point theorems for the proposed contractive nonself-mappings in certain Razumikhin classes. By using our results, we derive some P P F -dependent fixed point theorems for an α - F -contractive nonself-mapping endowed with a graph or a partial order. Finally, we give some applications to illustrate the main results.

Keywords: Razumikhin class; PPF -dependent fixed point; ? -admissible nonself-mapping; ? - F -contractive nonself-mapping; weak ? - F -contractive nonself-mapping; generalized ? - F -contractive nonself-mapping; graph; (partial) order (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/11/267/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/11/267/ (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:6:y:2018:i:11:p:267-:d:183898

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 ().