Fixed point theorems on metric and uniform space

vFIXED POINT THEOREMSON METRIC AND UNIFORM SPACE(Ph.D. Thesis)Hatice ASLAN HANÇERGAZİ UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGYFebruary 2007ABSTRACTIn this study, an implicit relation was defined and using this relation, atheorem for a multi valued mapping on a complete metric space was provedand some results of this theorem were given. A theorem for a point closedmapping on a complete uniform space was proved, some results and anapplication of this theorem were given. Also a theorem for a pair of twomulti valued mappings on complete uniform space was proved. Finally,some results and an application of this theorem were given.Science Code : 204.1.132Key Words : metric space, uniform space, implicit relation,a point closed mappingPage Number : 64Adviser : Doç. Dr. A. Duran TÜRKOĞLU