In this paper, we introduce a new class of multivalued contractions with respect
to b-generalized pseudodistances and prove a best proximity point theorem for this class
of non-self mappings. In this way, we improve and extend several existing results in the
literature. Examples are given to support our main results. This work is a continuation of
studies on the use of a new type of distances in the fixed point theory. The pioneering effort
in direction of defining distance is inter alia paper of O. Kada, T. Suzuki and W. Takahashi.

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• Global optimality results for multivalued non-self mappings in b-metric spaces