Characterization of \(\Sigma\)-semicompleteness via Caristi's fixed point theorem in semimetric spaces
In this paper, the author presents the concept of \(\sum\)-semicompleteness in semimetric spaces and gives Caristi's theorem on the fixed point in \(\sum\)-semicomplete semimetric spaces. Using the obtained result, the author characterizes \(\sum\)-semicompleteness. Also, a generalization of Banach's contraction principle is given.
scientific article; zbMATH DE number 6864753