Proximal Point Algorithms for Finding Common Fixed Points of a Finite Family of Nonexpansive Multivalued Mappings in Real Hilbert Spaces Article Swipe
We start by showing that the composition of fixed point of minimization problem and a finite family of multivalued nonexpansive mapping are equal to the common solution of the fixed point of each of the aforementioned problems, that is, $F(J_{lambda}^fcirc T_i) = F(J_{lambda}^f)cap F(T_i)=Gamma.$ Furthermore, we then propose an iterative algorithm and prove weak and strong convergence results for approximating the common solution of the minimization problem and fixed point problem of a multivalued nonexpansive mapping in the framework of real Hilbert space. Our result extends and complements some related results in literature.
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- Type
- article
- Language
- en
- Landing Page
- http://www.kjm-math.org/article_88426_f7ea9c7dc575d3815a88a6312c349e52.pdf
- OA Status
- green
- Related Works
- 20
- OpenAlex ID
- https://openalex.org/W2948408917
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https://openalex.org/W2948408917Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.22034/kjm.2019.88426Digital Object Identifier
- Title
-
Proximal Point Algorithms for Finding Common Fixed Points of a Finite Family of Nonexpansive Multivalued Mappings in Real Hilbert SpacesWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2019Year of publication
- Publication date
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2019-07-01Full publication date if available
- Authors
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A. A. MebawonduList of authors in order
- Landing page
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https://www.kjm-math.org/article_88426_f7ea9c7dc575d3815a88a6312c349e52.pdfPublisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://www.kjm-math.org/article_88426_f7ea9c7dc575d3815a88a6312c349e52.pdfDirect OA link when available
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Mathematics, Fixed point, Hilbert space, Convergence (economics), Lambda, Minification, Discrete mathematics, Algorithm, Pure mathematics, Applied mathematics, Combinatorics, Mathematical analysis, Mathematical optimization, Optics, Physics, Economic growth, EconomicsTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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20Other works algorithmically related by OpenAlex
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