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Du, Wei-Shih; Karapınar, Erdal; Shahzad, Naseer

The study of fixed point theory for various multivalued non-self-maps. (English) Zbl 1470.54054

Abstr. Appl. Anal. 2013, Article ID 938724, 9 p. (2013).
Summary: The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well-known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi-Takahashi type, Berinde-Berinde type, Du type, and other types from the class of self-maps to the class of non-self-maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non-self-maps in the context of complete metric spaces.

Cited in 9 Documents

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
47H04 Set-valued operators
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\textit{W.-S. Du} et al., Abstr. Appl. Anal. 2013, Article ID 938724, 9 p. (2013; Zbl 1470.54054)
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References:

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