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Filomat 2010 Volume 24, Issue 2, Pages: 1-10
https://doi.org/10.2298/FIL1002001A
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Common fixed point theorem for four mappings satisfying generalized weak contractive condition

Abbas Mujahid (Lahore University of Management Sciences, Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore, Pakistan)
Đorić Dragan (Faculty of Organizational Sciences, Beograd)

Contractive conditions introduced in (Q. Zhang and Y. Song, Fixed point theory for generalized φ-weak contraction, Appl. Math. Lett. 22(2009), 75-78) and (D. Đorić, Common fixed point for generalized (ψ, φ)-weak contractions, Applied Mathematics Letters, 22(2009), 1896-1900) are employed to obtain a new common fixed point theorem for four maps. Our result substantially generalizes comparable results in the literature. 2010 Mathematics Subject Classifications. 47H10. .

Keywords: common fixed point, generalized weak contractive condition, weakly compatible maps, lower semicontinous functions