Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces

Dhananjay Gopal; Mohammad Hasan; Mohammad Imdad

doi:10.4134/CKMS.2012.27.2.385

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2012; 27(2): 385-397

Printed June 1, 2012

https://doi.org/10.4134/CKMS.2012.27.2.385

Absorbing pairs facilitating common fixed point theorems for Lipschitzian type mappings in symmetric spaces

Dhananjay Gopal, Mohammad Hasan, and Mohammad Imdad

S. V. National Institute of Technology, Aligarh Muslim University, Aligarh Muslim University

Abstract

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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