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- W4379472562 abstract "Let E be a 2 uniformly smooth and convex real Banach space and let a mapping A: E → E∗ be lipschitz and strongly monotone such that A−1(0)≠∅. For an arbitrary ({x1}, {y1})∈E, we define the sequences {xn} and {yn} byyn = xn − θnJ−1(Axn), n≥1xn+1 = yn − λnJ−1(Ayn), n≥1where λn and θn are positive real number and J is the duality mapping of E. Letting (λn, θn)∈(0, 1), then xn and yn converges strongly to ρ∗, a unique solution of the equation Ax = 0. We also applied our algorithm in convex minimization and also proved the convergence of it in Lp, lp or Wm,p. At the end we proposed the algorithm of it in Lp(Ω) and its inverse Lq(Ω)." @default.
- W4379472562 created "2023-06-07" @default.
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- W4379472562 date "2023-06-05" @default.
- W4379472562 modified "2023-09-26" @default.
- W4379472562 title "A Modified Algorithms for New Krasnoselskii's Type for Strongly Monotone and Lipschitz Mappings" @default.
- W4379472562 doi "https://doi.org/10.28924/ada/ma.3.18" @default.
- W4379472562 hasPublicationYear "2023" @default.
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