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Further generalization of fixed point theorems in Menger PM-spaces.

Authors :
Kutbi, Marwan
Gopal, Dhananjay
Vetro, Calogero
Sintunavarat, Wutiphol
Source :
Fixed Point Theory & Applications. 9/28/2015, Vol. 2015 Issue 1, p1-10. 10p.
Publication Year :
2015

Abstract

In this work, we establish some fixed point theorems by revisiting the notion of ψ-contractive mapping in Menger PM-spaces. One of our results (namely, Theorem 2.3) may be viewed as a possible answer to the problem of existence of a fixed point for generalized type contractive mappings in M-complete Menger PM-spaces under arbitrary t-norm. Some examples are furnished to demonstrate the validity of the obtained results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871820
Volume :
2015
Issue :
1
Database :
Academic Search Index
Journal :
Fixed Point Theory & Applications
Publication Type :
Academic Journal
Accession number :
109966276
Full Text :
https://doi.org/10.1186/s13663-015-0279-4