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.
Kutbi, M., Gopal, D., Vetro, C., Sintunavarat, W. (2015). Further generalization of fixed point theorems in Menger PM-spaces. FIXED POINT THEORY AND APPLICATIONS, 2015(1), 1-10 [10.1186/s13663-015-0279-4].
Further generalization of fixed point theorems in Menger PM-spaces
VETRO, Calogero;
2015-01-01
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.
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