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On some fixed point theorems for expansive mappings in dislocated cone metric spaces with Banach algebras

Auwalu Abba, Hinçal Evren, Mishra Lakshmi Narayan

Journal of Mathematics and Applications

2019

Vol. 42

21--33

In this paper, we introduced the notion of generalized expansive mappings in dislocated cone metric spaces with Banach algebras. Furthermore, we prove some ﬁxed point theorems for generalized expansive mappings in dislocated cone metric spaces with Banach algebras without the assumption of normality of cones. Moreover, we give an example to elucidate our result. Our results are signiﬁcant extension and generalizations of many recent results in the literature.