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Du, Wei-Shih; Khojasteh, Farshid

New results and generalizations for approximate fixed point property and their applications. (English) Zbl 1474.54151

Abstr. Appl. Anal. 2014, Article ID 581267, 9 p. (2014).
Summary: We first introduce the concept of manageable functions and then prove some new existence theorems related to approximate fixed point property for manageable functions and \(\alpha\)-admissible multivalued maps. As applications of our results, some new fixed point theorems which generalize and improve Du’s fixed point theorem, Berinde-Berinde’s fixed point theorem, Mizoguchi-Takahashi’s fixed point theorem, and Nadler’s fixed point theorem and some well-known results in the literature are given.

Cited in 1 Review
Cited in 9 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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\textit{W.-S. Du} and \textit{F. Khojasteh}, Abstr. Appl. Anal. 2014, Article ID 581267, 9 p. (2014; Zbl 1474.54151)
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