Further generalization of fixed point theorems in Menger PM-spaces

Marwan Amin Kutbi, Dhananjay Gopal, Calogero Vetro, Wutiphol Sintunavarat
2015 Fixed Point Theory and Applications  
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. MSC: 47H10; 45D05
doi:10.1186/s13663-015-0279-4 fatcat:pksygzgphnganmfrhnh4jiaro4