Categorial refinements and their relation to reflective subcategories
Completely regular proximities and RC-proximities
Concerning a non-realizability of connected compact semi-separated closure operations by set-systems
Concrete refinements of uniform spaces
Cones and proximally fine spaces
Constrained optimization: A general tolerance approach
To overcome the somewhat artificial difficulties in classical optimization theory concerning the existence and stability of minimizers, a new setting of constrained optimization problems (called problems with tolerance) is proposed using given proximity structures to define the neighbourhoods of sets. The infimum and the so-called minimizing filter are then defined by means of level sets created by these neighbourhoods, which also reflects the engineering approach to constrained optimization problems....