Obafemi Awolowo University and University of Agriculture, Abeokuta
Abstract: In this paper, we prove the existence of fixed points and common fixed points for a general class of almost contraction mappings in metric spaces. This class of almost contractions is an extension and generalization of several contractive conditions in the literature. Our main results are established without forcing the metric space to be complete.
Keywords: $A$-contractions, almost $A$-contractions, arbitrary metric space
Classification (MSC2000): 47H10; 54H25
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