Further generalization of fixed point theorems in Menger PM-spaces
- Authors: Kutbi, M.; Gopal, D.; Vetro, C.; Sintunavarat, W.
- Publication year: 2015
- Type: Articolo in rivista (Articolo in rivista)
- Key words: fixed point; Menger PM-spaces; ψ-contractive mapping;
- OA Link: http://hdl.handle.net/10447/123272
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.