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Further generalization of fixed point theorems in Menger PM-spaces
Journal article   Open access  Peer reviewed

Further generalization of fixed point theorems in Menger PM-spaces

Marwan Amin Kutbi, Dhananjay Gopal, Calogero Vetro and Wutiphol Sintunavarat
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-10
27/02/2015
DOI: https://doi.org/10.1186/s13663-015-0279-4

Abstract

Menger PM-spaces MAPPINGS fixed point ALTERING DISTANCES psi-contractive mapping
In this work, we establish some fixed point theorems by revisiting the notion of psi-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.
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https://doi.org/10.1186/s13663-015-0279-4View
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