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Some Common Fixed Point Theorems for Mappings and Multi-valued Mappings

โœ Scribed by Aqeel Ahmad; M. Imdad


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
173 KB
Volume
218
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


Using certain weak conditions of commutativity we prove some common fixed point theorems in complete metrically convex spaces which, in turn, generalize results due to Assad and Kirk, Itoh, Khan, and several others.


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In a recent paper \(\mathrm{N}\). Mizoguchi and \(\mathrm{W}\). Takahashi gave a positive answer to the conjecture of \(\mathrm{S}\). Reich concerning the existence of fixed points of multi-valued mappings that satisfy a certain contractive condition. In this paper, we provide an alternative and som