Multivalued interpolative type contractions on partial metric spaces

Document Type : Original Article

Authors

1 Department of Mathematics and Statistics, American University of Nigeria, Yola, Nigeria

2 Department of Mathematics, Ahmadu Bello University Zaria, Kaduna, Nigeria

Abstract

This article presents the interpolative fixed point theorem with reference to complete partial metric spaces, by taking the multi-valued contraction into account. In particular, the idea of multivalued interpolative Reich–Rus–'{C}iri'{c} type contractions is introduced and criteria for the existence of fixed points' of such operators are established. A nontrivial example is provided to support the validity of the obtained results.

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