arXiv Open Access 2014

Endpoints of multi-valued weak contractions on the metric space valued in partially ordered groups

Congdian Cheng

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Abstrak

We introduce the metric space valued in partially ordered groups, and define the convergence of sequences and the multi-valued weak contractions, etc., on the space. We then establish endpoint theorems for the defined maps. Our contributions extend the theory of cone metric space constructed by Huang and Zhang (2007) and some recent results on the fixed point and endpoint theory, such as the endpoint theorem given by Amini-Harandi (2010).

Topik & Kata Kunci

math.FA

Penulis (1)

Congdian Cheng

Format Sitasi

APA MLA BibTeX

Cheng, C. (2014). Endpoints of multi-valued weak contractions on the metric space valued in partially ordered groups. https://arxiv.org/abs/1406.0057

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2014
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓