Relative Extension of Continuous Mappings
Miroslaw Slosarski *
Koszalin University of Technology, Sniadeckich 2, PL-75-453 Koszalin, Poland.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the notion of a relative extension of continuous mappings is defined. The relative extension of continuous mappings is the generalization of the notion of a relative retract in topological spaces. The relative extension of continuous mappings will be applied to fixed point theory.
Keywords: Extension space, neighborhood extension space, movable space, space of trivial shape, relative extension space, relative neighborhood extension space, xed point, D-retract.