Approximation of common fixed points in 2-Banach spaces with applications
[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and P...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2019 |
| Country: | España |
| Institution: | Universitat Politècnica de València (UPV) |
| Repository: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Language: | English |
| OAI Identifier: | oai:riunet.upv.es:10251/118957 |
| Online Access: | https://riunet.upv.es/handle/10251/118957 |
| Access Level: | Open access |
| Keyword: | Common fixed point Mann iteration Picard iteration Well-posedness 2-Banach space |
| Summary: | [EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces. |
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