F -Convex Contraction via Admissible Mapping and Related Fixed Point Theorems with an Application

Y. Mahendra Singh, Mohammad Saeed Khan and Shin Min Kang
Additional contact information
Y. Mahendra Singh: Department of Humanities and Basic Sciences, Manipur Institute of Technology, Takyelpat 795004, India
Mohammad Saeed Khan: Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod Muscat 123, Oman; mohammad@squ.edu.om
Shin Min Kang: Department of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2018, vol. 6, issue 6, 1-15

Abstract: In this paper, we introduce F -convex contraction via admissible mapping in the sense of Wardowski [Fixed points of a new type of contractive mappings in complete metric spaces. Fixed Point Theory Appl., 94 (2012), 6 pages] which extends convex contraction mapping of type-2 of Istr??escu [Some fixed point theorems for convex contraction mappings and convex non-expansive mappings (I), Libertas Mathematica, 1(1981), 151–163] and establish a fixed point theorem in the setting of metric space. Our result extends and generalizes some other similar results in the literature. As an application of our main result, we establish an existence theorem for the non-linear Fredholm integral equation and give a numerical example to validate the application of our obtained result.

Keywords: ? -admissible mapping; ? ? -admissible; F -contraction; ? - F -convex contraction; fixed point; non-linear Fredholm integral equation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/6/6/105/pdf (application/pdf)
https://www.mdpi.com/2227-7390/6/6/105/ (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:6:p:105-:d:153399

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 ().