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Farajzadeh, A. P.; Amini-Harandi, A.; Baleanu, D.

Fixed point theory for generalized contractions in cone metric spaces. (English) Zbl 1244.54091

Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 708-712 (2012).
Summary: In this paper, we prove some fixed point theorems for generalized contractions in cone metric spaces. Our theorems extend some results of T. Suzuki [Proc. Am. Math. Soc. 136, No. 5, 1861–1869 (2008; Zbl 1145.54026)] and M. Kikkawa and T. Suzuki [Nonlinear Anal., Theory Methods Appl. 69, No. 9, A, 2942–2949 (2008; Zbl 1152.54358)].

Cited in 7 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H11 Degree theory for nonlinear operators

Keywords:

fixed point; cone metric space; Hausdorff metric; set-valued maps

Citations:

Zbl 1145.54026; Zbl 1152.54358
PDFBibTeX XMLCite
\textit{A. P. Farajzadeh} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 708--712 (2012; Zbl 1244.54091)
Full Text: DOI

References:

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