Abstract
In this paper, we confine over selves to obtain some results on fixed point theorems for a new category of expansive mappings called (y, a) expansive mapping in b- metric spaces. Our results are with much shorter proof and generalize many existing results in the literature. We also have given some examples to support our results.
Highlights
During the last 95- years a lot of fixed point theorems have been established and we find that Banach contraction principle is at the base of the most of these results established so far
The notion of a b-metric space was introduced by Czerwik in [11, 12] and during the last few years by many authors a lot of fixed point theorems have been proved in b-metric spaces
We present an example of α-admissible mappings
Summary
During the last 95- years a lot of fixed point theorems have been established and we find that Banach contraction principle is at the base of the most of these results established so far. Definition 2.2 [ 15] Let {xn} be a sequence in a b-metric space (X, d).
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