K. P. R. Rao, K. R. K. Rao, “A Suzuki type fixed point theorem for a hybrid pair of maps in partial Hausdorff metric spaces”, Eurasian Math. J., 2014, Volume 5, Number 3,Pages <nobr>93

A Suzuki type fixed point theorem for a hybrid pair of maps in partial Hausdorff metric spaces

K. P. R. Rao^a, K. R. K. Rao^b

^a Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar-522 510, A.P., India
^b Department of Mathematics, GITAM University, Hyderabad-502 329, A.P., India

Abstract: In this paper, we introduce the notion of $(\theta, L)$ generalized weak contraction for a hybrid pair of mappings in a partial metric space by using partial Hausdorff metric. The main result of the paper generalizes the main theorem of H. Aydi et al. [6] .

Keywords and phrases: partial metric space, multi-valued map, partial Hausdorff metric, generalized weak contraction.

MSC: 47H10, 54H25

Received: 03.10.2013

Language: English