On semi best proximity points for multivalued mappings in quasi metric spaces

Abstract

Due to the lack of symmetry property for the quasi metrics, we have considered left and right versions of best proximity points of multivalued mappings of quasi metric spaces. Further we consider the problem of existence of semi (left and right) best proximity points of generalized multivalued contractions of quasi metric spaces via various versions of so called $ p- $property. Some examples are given to explain the results.

Keywords

• best proximity points
• left (right) best proximity points
• quasi metric
• multivalued mappings