2017
DOI: 10.12988/ijma.2017.7112
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Algorithm for zeros of maximal monotone mappings in classical Banach spaces

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Cited by 6 publications
(8 citation statements)
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“…The operators F and K, defined in 2-uniformly convex and 2uniformly smooth real Banach spaces, are assumed to be bounded, continuous, and monotone. Consequently, the outcomes presented in this study not only expand upon and consolidate the findings of Chidume et al [12], Mendy et al [4], but also encompass a significant portion of the results previously established for this crucial class of nonlinear mappings.…”
Section: Introductionsupporting
confidence: 88%
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“…The operators F and K, defined in 2-uniformly convex and 2uniformly smooth real Banach spaces, are assumed to be bounded, continuous, and monotone. Consequently, the outcomes presented in this study not only expand upon and consolidate the findings of Chidume et al [12], Mendy et al [4], but also encompass a significant portion of the results previously established for this crucial class of nonlinear mappings.…”
Section: Introductionsupporting
confidence: 88%
“…They find application in various contexts, including functional equations, and often emerge as subdifferentials of convex functions in the field of calculus of variations (see, for example, Pascali and Sburian [39] and Rockafellar [41, page 101]). For the solution of the zeros of A, see Mendy et al [ [5], [3], [9], [7], [8], [31]].…”
Section: Introductionmentioning
confidence: 99%
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“…Lemma 2.11. [24] Let X be a reflexive real Banach space with dual X * and let A: X → X * be a hemicontinuous monotone mapping. Then, A is maximal monotone.…”
Section: Preliminariesmentioning
confidence: 99%