Fixed points of weak $\psi$-quasi contractions in generalized metric spaces

محورهای موضوعی : Fixed point theory

K. P. R. Sastry ¹ , G. V. R. Babu ² , P. S. Kumar ³

1 - 8-28-8/1, Tamil Street, China Waltair, Visakhapatnam-530 017, India
2 - Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
3 - Department of Mathematics, Andhra University, Visakhapatnam-530 003, India

تاریخ دریافت : 1396/08/07 تاریخ پذیرش : 1396/10/09 تاریخ انتشار : 1396/09/10

کلید واژه: fixed point, Generalized metric space, weak $psi$-quasi contraction,

چکیده مقاله :

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.