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BanachJ.Math.Anal.6(2012),no.1,74–89 QUADRUPLEFIXEDPOINTTHEOREMSFORNONLINEARCONTRACTIONSINPARTIALLYORDEREDMETRICSPACES B J M A

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Banach J. Math. Anal. 6 (2012), no. 1, 74–89

B

anach

J

ournal of

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athematical

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nalysis ISSN: 1735-8787 (electronic)

www.emis.de/journals/BJMA/

QUADRUPLE FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED METRIC SPACES

ERDAL KARAPINAR1∗AND VASILE BERINDE2 Communicated by M. A. Jap´on Pineda

Abstract. In this paper we obtain existence and uniqueness results for quadru- ple fixed points of operators F : X4 → X. We also give some examples to support our results.

1Department of Mathematics, Atilim University 06836, ˙Incek, Ankara, Turkey.

E-mail address: [email protected], [email protected]

2Department of Mathematics and Computer Science, North University of Baia Mare, Victoriei 76, 430122, Baia Mare, Romania.

E-mail address: [email protected]

Date: Received: 22 July 2011; Revised: 15 September 2011; Accepted: 12 October 2011.

∗ Corresponding author.

2010Mathematics Subject Classification. Primary 47H10; Secondary 46J10, 54H25.

Key words and phrases. Fixed point theorems, Nonlinear contraction, Partially ordered, Quadruple Fixed Point, mixedg-monotone.

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