SOME RESULTS ON LOCALLY CONTRACTIVE MAPPINGS

Tran Quoc Binh

Abstract


We give a comparision of various definitions of local contraction mappings (Theorem 2.1). As a consequence of this theorem, we proved that in compact metric spaces these definitions are equivalent. At the end of the paper we prove a fixed point theorem for e-locally set-valued contractive mappings in e-chainable complete metric spaces.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea