Fixed point theorems for nonself generalized contractions on a large Kasahara space

In this paper we give some fixed point theorems for nonself generalized contractions on a large Kasahara space, which generalize some results given by I. A. Rus and M.-A. Şerban (I. A. Rus, M.-A. Şerban,  Some fixed point theorems for nonself generalized contractions, Miskolc Math. Notes, 17 (2016), no. 2, 1021-1031) and by S. Reich and A.J. Zaslavski (S. Reich, A. J. Zaslavski,  A note on Rakotch contractions, Fixed Point Theory, 9 (2008), no.1, 267–273) in complete metric spaces. We prove our results without using the completeness of the metric structure.