Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces
Commun. Korean Math. Soc. 2012 Vol. 27, No. 2, 385-397
https://doi.org/10.4134/CKMS.2012.27.2.385
Printed June 1, 2012
Dhananjay Gopal, Mohammad Hasan, and Mohammad Imdad
S. V. National Institute of Technology, Aligarh Muslim University, Aligarh Muslim University
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
MSC numbers : Primary 54H25; Secondary 47H10
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