Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property

We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixe...

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Bibliographic Details
Main Authors: E. Karapınar, D. K. Patel, M. Imdad, D. Gopal
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/753965
Description
Summary:We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.
ISSN:0161-1712
1687-0425