Introduction
1 Background in Multi-valued Analysis
1.1 Some notions and definitions
1.2 Examples of multivalued mappings
1.3 Vietoris topology
1.4 Continuity concepts
1.5 Upper semicontinuity and closed graphs
1.6 Upper and lower semicontinuous(u.s.c.and 1.s.c.)functions and their rela-tions
1.7 Lower semicontinuity and open graphs
1.8 Linear operations on multifunctions
1.9 Closed and proper multivalued maps
1.10 Open multivalued maps
1.11 Weakly upper and lower semicontinuous functions
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2 Hausdorff-Pompeiu Metric Topology
2.1 Hausdorff continuity
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