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Nonunique fixed point theorems in partial metric spaces

Karapınar Erdal (Department of Mathematics, Atilim University, Incek, Ankara, Turkey)
Romaguera Salvador (Instituto Universitario de Matematica Pura y Aplicada, Universitat Politècnica de València, Valencia, Spain)

In this paper we prove the existence of fixed points of certain self-maps in the context of partial metric spaces. In fact, the fixed point theorems presented here can be considered as a continuation, in part, of the works of L.B. Ćirić on the existence of fixed points but not uniqueness in the realm of metric spaces. Our results generalize, enrich and improve earlier results on the topic in the literature.

Keywords: nonunique fixed point, partial metric space