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240116s2020 xx |||||o 00| ||eng c |
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|a (DE-627)JST139037365
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|a (JST)26918249
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|a DE-627
|b ger
|c DE-627
|e rakwb
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|a eng
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| 100 |
1 |
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|a Chidume, C. E.
|e verfasserin
|4 aut
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| 245 |
1 |
2 |
|a A strong convergence theorem for maximal monotone operators in Banach spaces with applications
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| 264 |
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|c 2020
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| 336 |
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|a Text
|b txt
|2 rdacontent
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|a Computermedien
|b c
|2 rdamedia
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|a Online-Ressource
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|2 rdacarrier
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|a An algorithm is constructed to approximate a zero of a maximal monotone operator in a uniformly convex and uniformly smooth real Banach space. The sequence of the algorithm is proved to converge strongly to a zero of the maximal monotone map. In the case where the Banach space is a real Hilbert space, our theorem complements the celebrated proximal point algorithm of Martinet and Rockafellar. Furthermore, our convergence theorem is applied to approximate a solution of a Hammerstein integral equation in our general setting. Finally, numerical experiments are presented to illustrate the convergence of our algorithm.
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Statistical physics
|x Dimensional analysis
|x Dimensionality
|x Abstract spaces
|x Topological spaces
|x Metric spaces
|x Separable spaces
|x Banach space
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| 650 |
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4 |
|a Mathematics
|x Pure mathematics
|x Calculus
|x Differential calculus
|x Differential equations
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| 650 |
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4 |
|a Mathematics
|x Mathematical objects
|x Mathematical series
|x Series convergence
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| 650 |
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4 |
|a Mathematics
|x Mathematical procedures
|x Approximation
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| 650 |
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4 |
|a Mathematics
|x Mathematical analysis
|x Mathematical monotonicity
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Statistics
|x Applied statistics
|x Statistical physics
|x Dimensional analysis
|x Dimensionality
|x Abstract spaces
|x Topological spaces
|x Metric spaces
|x Separable spaces
|x Banach space
|x Hilbert spaces
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| 650 |
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4 |
|a Mathematics
|x Mathematical expressions
|x Mathematical theorems
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| 650 |
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4 |
|a Mathematics
|x Mathematical analysis
|x Numerical analysis
|x Iterative solutions
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| 650 |
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4 |
|a Mathematics
|x Mathematical expressions
|x Equations
|x Nonlinear equations
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| 650 |
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4 |
|a Mathematics
|x Applied mathematics
|x Computational mathematics
|x Iterative methods
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| 655 |
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4 |
|a research-article
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| 700 |
1 |
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|a De Souza, G. S.
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Romanus, O. M.
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Nnyaba, U. V.
|e verfasserin
|4 aut
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| 773 |
0 |
8 |
|i Enthalten in
|t Carpathian Journal of Mathematics
|d Sinus Association
|g 36(2020), 2, Seite 229-240
|w (DE-627)894846922
|w (DE-600)2901542-X
|x 18434401
|7 nnns
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| 773 |
1 |
8 |
|g volume:36
|g year:2020
|g number:2
|g pages:229-240
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|u https://www.jstor.org/stable/26918249
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|d 36
|j 2020
|e 2
|h 229-240
|