A generalization of some fixed point theorems of K. M. Ghosh

[摘要] This note establishes the following result. LetTbe a selfmap of a normed linear spaceE. For0<λ≤1, defineTλx=λx+(1−λ)Txfor eachxinE. If, in addition,S=TTλsatisfies any contractive definition strong enough to guarantee thatShas a unique fixed pointuinE, and, ifTTλu=TλTu, thenuis the unique fixed point forT.

[学科分类] 数学（综合）