SOME EXTENSION OF CARISTI FIXED POINT IN QUASI-METRIC SPACE
The aim of this paper is to present a new extension version of Caristi fixed point theorem for some kind of complete quasi-metric spaces. We also establish Ekeland-type variational principles in the setting of quasi-metric spaces.
Smyth complete quasi metric space, quasi-metric space, T1 quasi-metric space, Caristi fixed point, α-admissible mapping, Ekelands variational principle.