Existence and convergence theorems for γ-hybrid set-valued mappings in hilbert spaces
Copyright © 2015 Watam Press. In this paper, we define a new class of set-valued mappings in a Hilbert space, called -hybrid. We prove some fixed point theorems for mappings in this class. Finally, we establish weak convergence of modified SP-iteration to a fixed point of -hybrid set- valued mapping...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84943180141&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/54654 |
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| Institution: | Chiang Mai University |
| Summary: | Copyright © 2015 Watam Press. In this paper, we define a new class of set-valued mappings in a Hilbert space, called -hybrid. We prove some fixed point theorems for mappings in this class. Finally, we establish weak convergence of modified SP-iteration to a fixed point of -hybrid set- valued mappings in Hilbert spaces. Our results extend many known recent results in the literature. |
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