The fixed point property is a fundamental concept in topology and has been extensively studied in various contexts. However, there are still several open problems related to the fixed point property. There are many other interesting questions and directions of research in this area.
We have recently developed a new generalization of metric spaces, called " Double-Composed metric space". It is an open problem to provide a non-trivial applications of our results to the theory of integral equations. You may check my profile for the paper. Thanks
Dear Deuri,
I would be of some interest to establish some particular fixed point
theorems for the postman, radial and river metrics and dome of
their common generalizations.
My enclosed paper was refused by I. A. Rus, at the journal
Fixed Point Theory, with the sentence that it is not connected
with fixed points.
With best regards,
Arpad Szaz
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