Fixed point theory became, in the last decades, not only a field with a huge development, but also a strong tool for solving various problems arising in different fields of pure and applied mathematics. A central result of the metric fixed point theory is the Banach-Caccioppoli Contraction Principle. Today we have many generalizations of this result, which were given in all kind of generalized metric spaces. If we carefully examine their proofs, one can see that the metric properties, in particular part of the axioms of the metric, are not all the time essential. Therefore the following problem arises: In which general spaces contractive type fixed point theorems hold?
Fixed Point Theory in Kasahara Spaces
16 x 23 cm