Some Common Fixed Point Theorems in Complex Valued b-Metric Spaces

Azam et al. (2011), introduce the notion of complex valued metric spaces and obtainedcommon fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, wegeneralize the results of Azam et al....

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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-6
1. Verfasser: Mukheimer, A. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:Azam et al. (2011), introduce the notion of complex valued metric spaces and obtainedcommon fixed point result for mappings in the context of complex valued metric spaces. Rao et al. (2013) introduce the notion of complex valued b-metric spaces. In this paper, wegeneralize the results of Azam et al. (2011), and Bhatt et al. (2011), by improving the conditionsof contraction to establish the existence and uniqueness of common fixed point for twoself-mappings on complex valued b-metric spaces. Some examples are given to illustratethe main results.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/587825