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arxiv: 1305.0832 · v1 · pith:7OHB4PUXnew · submitted 2013-05-03 · 🧮 math.GN

Implicit contractive maps in ordered metric spaces

classification 🧮 math.GN
keywords applfixedimplicitpointagarwalaltunanalapproach
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Further extensions are given to the fixed point result (for implicit contractions) due to Altun and Simsek [Fixed Point Th. Appl., Volume 2010, Article ID 621469]. Some connections with related statements in the area due to Agarwal, El-Gebeily and O'Regan [Appl. Anal., 87 (2008), 109-116] are also discussed. Finally, the old approach in Turinici [An. St. Univ. "A. I. Cuza" Iasi, 22 (1976), 177-180] is presented, for historical reasons.

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