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

Authors :
Mohammad Imdad
Dhananjay Gopal
Mohammad Hasan
Source :
Communications of the Korean Mathematical Society. 27:385-397
Publication Year :
2012
Publisher :
The Korean Mathematical Society, 2012.

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 xed points of Lipschitzian mappings. Some illustrative examples are also furnished to highlight the realized improvements.

Details

ISSN :
12251763
Volume :
27
Database :
OpenAIRE
Journal :
Communications of the Korean Mathematical Society
Accession number :
edsair.doi...........f446e6c28d4c808352d8a232184f59b6