Fixed points of weak $\psi$-quasi contractions in generalized metric spaces
الموضوعات :
K. P. R. Sastry
1
(8-28-8/1, Tamil Street, China Waltair, Visakhapatnam-530 017, India)
G. V. R. Babu
2
(Department of Mathematics, Andhra University, Visakhapatnam-530 003, India)
P. S. Kumar
3
(Department of Mathematics, Andhra University, Visakhapatnam-530 003, India)
الکلمات المفتاحية: fixed point, Generalized metric space, weak $psi$-quasi contraction,
ملخص المقالة :
In this paper, we introduce the notion of weak $\psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in support of our main result.
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