HIGHLIGHTS
SUMMARY
There have appeared two types of generalizations of the original Caristi fixed point theorem on complete metric spaces. Motivated by Example 4.1 of_[6], the authors derive the following from Theorem D: Theorem F. Let (X, d) be a metric space and a proper function φ: X → R be l.s.c. from above and bounded from below (resp. u.s.c. from below and bounded from above). From his own principle, Takahashi deduced Caristi`s fixed point theorem, Ekeland`s ε-variational principle, Nadler`s fixed point theorem, etc. From Theorem F(α), (γ) and the . . .
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