A generalized Nadler-type theorem in partial metric spaces

Abstract

Nadler’s Fixed Point Theorem for Multi-valued functions (see [6]) was generalized by H. Aydi et al in their recent paper [1]. We use the approach of Gordji et. al. [3] to further generalize this result for a larger class of multifunctions (with a more general contraction condition) on complete partial metric spaces. The result yields the main theorem in [1] as a special case. Mathematics Subject Classification: 54H25