On the proximal point algorithm and demimetric mappings in CAT(0) spaces

Kazeem O. Aremu; Chinedu Izuchukwu; Godwin C. UgwunnadiOluwatosin T. Mewomo

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On the proximal point algorithm and demimetric mappings in CAT(0) spaces

机译：On the proximal point algorithm and demimetric mappings in CAT(0) spaces

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摘要

In this paper, we introduce and study the class of demimetric mappings in CAT(0) spaces.We then propose a modified proximal point algorithm for approximating a common solution of a finite family of minimization problems and fixed point problems in CAT(0) spaces. Furthermore,we establish strong convergence of the proposed algorithm to a common solution of a finite family of minimization problems and fixed point problems for a finite family of demimetric mappings in complete CAT(0) spaces. A numerical example which illustrates the applicability of our proposed algorithm is also given. Our results improve and extend some recent results in the literature.

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来源
《Demonstratio Mathematica》 |2018年第1期|277-294|共18页
作者
Kazeem O. Aremu; Chinedu Izuchukwu; Godwin C. UgwunnadiOluwatosin T. Mewomo;
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School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal;

Department of Mathematics, University of Eswatini;

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正文语种英语
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demimetric mappings; minimization problem; CAT(0) spaces; fixed point problem;

On the proximal point algorithm and demimetric mappings in CAT(0) spaces

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