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

Subject Areas : 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

Received: 2017-10-29 Accepted : 2017-12-30 Published : 2017-12-01

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

Abstract :

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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[4] K. P. R. Sastry, G. Appala Naidu, Ch. Srinivasa Rao, B. Ramu Naidu, Fixed point theorems for weak k-quasi contractions on a generalized metric space, Bull. Math. Stat. Res. 4 (S1) (2016), ISSN:2348-0580.