Kalinde, A. K.; Mishra, S. N. Common fixed points for pairs of commuting nonexpansive mappings in convex metric spaces. (English) Zbl 0666.54025 Math. Jap. 33, No. 5, 725-735 (1988). Author’s summary: “In this paper we introduce the concepts of diminishing orbital diametral sum and of normal structure, both with respect to a generalized affine nonexpansive self-mapping S in convex metric spaces. Using the two notions, some conditions are given under which any nonexpansive self-mapping T commuting with S has a common fixed point with S.” Reviewer: W.A.Kirk Cited in 1 Document MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems Keywords:diminishing orbital diametral sum; normal structure; generalized affine nonexpansive self-mapping; convex metric spaces PDFBibTeX XMLCite \textit{A. K. Kalinde} and \textit{S. N. Mishra}, Math. Japon. 33, No. 5, 725--735 (1988; Zbl 0666.54025)