On some theorems of Tarafdar
1976 ◽
Vol 15
(2)
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pp. 213-221
Keyword(s):
In a recent paper (Bull. Austral. Math. Soc. 13 (1975), 241–245), Tarafdar has considered nonexpansive self mappings on a subset X of a locally convex vector space E and proved an extension to E of a theorem of Göhde. The purpose of this paper is to show that the condition f: X → X, in Göhde-Tarafdar's Theorem in the above paper, may be weakened to f: X → E with f(∂X) ⊆ X. As a consequence, it is further shown that an extension to E of a well-known common fixed point theorem of Belluce and Kirk due to Tarafdar remains true on domains that are not necessarily bounded or quasi-complete.
2013 ◽
Vol 07
(03)
◽
pp. 196-204
2020 ◽
Vol 9
(8)
◽
pp. 5593-5600
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1993 ◽
Vol 16
(4)
◽
pp. 669-674
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Keyword(s):
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2013 ◽
Vol 2013
(1)
◽
Keyword(s):