＜正＞ In this paper,we first show several fixed point and or common fixed point theorems forpoint-vahied and set-valued contractive type mappings in compact metric spaces,whichsatisfy very general contractive condition with strict inequality and may be discontinuous.Our theorems improve and generalize some main results in[1—4].In the next place,we provide some new results for quite general orbitally contractionand quasi-contraction mappings.They improve,unify and extend some important resultsin[7—15].
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