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Fixed point results for {alpha, xi}-expansive locally contractive mappings
Journal article   Open access  Peer reviewed

Fixed point results for {alpha, xi}-expansive locally contractive mappings

Jamshaid Ahmad, Ahmed Saleh Al-Rawashdeh and Akbar Azam
Journal of inequalities and applications, Vol.2014(1), pp.1-10
24/09/2014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We recall the concepts of {alpha, xi}-contractive and alpha-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for {alpha, xi}-expansive locally contractive mappings in complete metric spaces. The contractiveness of the mapping is only on a closed ball instead of the whole space. Our results unify, generalize, and complement various well-known comparable results in the literature.
url
https://doi.org/10.1186/1029-242X-2014-364View
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