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Kutbi, Marwan Amin; Sintunavarat, Wutiphol

The existence of fixed point theorems via \(w\)-distance and \(\alpha\)-admissible mappings and applications. (English) Zbl 1300.54075

Abstr. Appl. Anal. 2013, Article ID 165434, 8 p. (2013).
Summary: We introduce the concept of generalized \(w_\alpha\)-contraction mappings and establish the existence of fixed point theorems for such mappings by using the properties of \(w\)-distance and \(\alpha\)-admissible mappings. We also apply our result to coincidence point and common fixed point theorems in metric spaces. Further, the fixed point theorems endowed with an arbitrary binary relation are also derived from our results. Our results generalize the result of M. A. Kutbi, [J. Inequal. Appl. 2013, Article ID 141, 7 p., electronic only (2013; Zbl 1328.54044)], and several results in the literature.

Cited in 1 Review
Cited in 13 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems

Citations:

Zbl 1328.54044
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\textit{M. A. Kutbi} and \textit{W. Sintunavarat}, Abstr. Appl. Anal. 2013, Article ID 165434, 8 p. (2013; Zbl 1300.54075)
Full Text: DOI

References:

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