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Filomat 2011 Volume 25, Issue 2, Pages: 79-89
https://doi.org/10.2298/FIL1102079I
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Impact of occasionally weakly compatible property on common fixed point theorems for expansive mappings

Imdad M. (Department of Mathematics, Aligarh Muslim University, Aligarh, India)
Ali Javid (Department of Mathematics & Statistics, Indian Institute of Technology Kanpur, India)
Popa V. (Department of Mathematics, University of Bacau, Romania)

A general common fixed point theorem for two pairs of occasionally weak compatible expansive mappings satisfying a significantly enriched implicit function is proved in symmetric spaces which generalizes several previously known results. Some related results and illustrative examples are also discussed.

Keywords: symmetric spaces, fixed points, occasionally weakly compatible mappings and implicit function