Some new fixed point theorems in Menger PM-spaces with application to Volterra type integral equation

Dhananjay Gopal, Mujahid Abbas and Calogero Vetro

Applied Mathematics and Computation, 2014, vol. 232, issue C, 955-967

Abstract: We establish some fixed point theorems by introducing two new classes of contractive mappings in Menger PM-spaces. First, we prove our results for an α-ψ-type contractive mapping and then for a generalized β-type contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.

Keywords: Fixed point; Menger PM-spaces; Continuous t-norm; Volterra integral equation (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314001805
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:232:y:2014:i:c:p:955-967

DOI: 10.1016/j.amc.2014.01.135

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().