Pseudo-contractivity and Metric Regularity in Fixed Point Theory

Adrian Petruşel (), Gabriela Petruşel () and Jen-Chih Yao ()
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Adrian Petruşel: Babeş-Bolyai University Cluj-Napoca
Gabriela Petruşel: Babeş-Bolyai University Cluj-Napoca
Jen-Chih Yao: China Medical University

Journal of Optimization Theory and Applications, 2019, vol. 180, issue 1, No 2, 5-18

Abstract: Abstract In this paper, we will prove some fixed point results for multi-valued almost pseudo-contractions in some generalized metric spaces. Data dependence theorems and some applications to multi-valued coincidence problems are also given.

Keywords: Quasimetric space; Vector-valued metric space; Multi-valued operator; Fixed point; Metric regularity; Almost pseudo-contraction; Data dependence; 47H10; 49J53; 54H25 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-018-1271-z

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