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A coupled best approximations theorem in normed spaces

✍ Scribed by Zoran D. Mitrović

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 215 KB
Volume: 72
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2010.01.035

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✦ Synopsis

We prove a coupled best approximations theorem in normed spaces. Also, we derive the results on coupled coincidence points and coupled fixed points, which were introduced by Lakshmikantham and Ćirić [V. Lakshmikantham, LJ. Ćirić, Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Anal. TMA, 70 (2009) 4341-4349].

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