Fixed point results for {α,ξ}-expansive locally contractive mappings

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作者
Jamshaid Ahmad
Ahmed Saleh Al-Rawashdeh
Akbar Azam
机构
[1] COMSATS Institute of Information Technology,Department of Mathematics
[2] UAE University,Department of Mathematical Sciences
关键词
expansive mapping; -admissible; fixed point; closed ball;
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摘要
We recall the concepts of {α,ξ}-contractive and α-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for {α,ξ}-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.
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