Fixed point results for asymptotically regular mappings in abstract metric spaces
摘要
In this paper, various extended contractions are introduced as generalizations of some existing contractions given by Kannan, Ćirić, Reich and Górnicki, et al. Then, several meaningful results about asymptotically regular mappings in cone metric spaces over Banach algebras are obtained, weakening the completeness of the spaces and the continuity of the mappings. Moreover, some nontrivial examples are showed to verify the innovation of the new concepts and our fixed point theorems.