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http://dx.doi.org/10.4134/CKMS.2012.27.2.385

ABSORBING PAIRS FACILITATING COMMON FIXED POINT THEOREMS FOR LIPSCHITZIAN TYPE MAPPINGS IN SYMMETRIC SPACES  

Gopal, Dhananjay (Department of Mathematics and Humanities S.V. National Institute of Technology)
Hasan, Mohammad (Department of Applied Mathematics Aligarh Muslim University)
Imdad, Mohammad (Department of Mathematics Aligarh Muslim University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.2, 2012 , pp. 385-397 More about this Journal
Abstract
The purpose of this paper is to improve certain results proved in a recent paper of Soliman et al. [20]. These results are the outcome of utilizing the idea of absorbing pairs due to Gopal et al. [6] as opposed to two conditions namely: weak compatibility and the peculiar condition initiated by Pant [15] to ascertain the common fixed points of Lipschitzian mappings. Some illustrative examples are also furnished to highlight the realized improvements.
Keywords
tangential mappings; Lipschitzian mappings; absorbing pairs;
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