Abstract
We prove versions of Ekeland, Takahashi and Caristi principles in sequentially right K-complete quasi-pseudometric spaces (meaning asymmetric pseudometric spaces), the equivalence between these principles, as well as their equivalence to the completeness of the underlying quasi-pseudometric space.The key tools are Picard sequences for some special set-valued mappings corresponding to a function φ on a quasi-pseudometric space, allowing a unitary treatment of all these principles.
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