Random Nonlinear Variational Inclusions Involving $H(\cdot,\cdot)$-accretive Operator for Random Fuzzy Mappings in Banach Spaces
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 2
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In this paper we introduce and study a new class of random nonlinear variational inclusions involving $H(\cdot,\cdot)$-accretive operator for fuzzy mapping in Banach space. By using the new resolvent operator technique for $H(\cdot,\cdot)$-accretive operators duo to Zou and Huang, we construct a new iterative algorithm for solving such random nonlinear variational inclusion problem. Under some suitable conditions, we prove the existence of random solution and the convergence of random iterative sequences generated by the algorithm. The results presented in this paper improve and generalize some known corresponding results in the literature.
Classification :
90C33, 47S10.
@article{BMMS_2011_34_2_a17,
author = {Wen-Bin Zhang},
title = {Random {Nonlinear} {Variational} {Inclusions} {Involving} {\(H(\cdot,\cdot)\)-accretive} {Operator} for {Random} {Fuzzy} {Mappings} in {Banach} {Spaces}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a17/}
}
TY - JOUR AU - Wen-Bin Zhang TI - Random Nonlinear Variational Inclusions Involving \(H(\cdot,\cdot)\)-accretive Operator for Random Fuzzy Mappings in Banach Spaces JO - Bulletin of the Malaysian Mathematical Society PY - 2011 VL - 34 IS - 2 UR - http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a17/ ID - BMMS_2011_34_2_a17 ER -
%0 Journal Article %A Wen-Bin Zhang %T Random Nonlinear Variational Inclusions Involving \(H(\cdot,\cdot)\)-accretive Operator for Random Fuzzy Mappings in Banach Spaces %J Bulletin of the Malaysian Mathematical Society %D 2011 %V 34 %N 2 %U http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a17/ %F BMMS_2011_34_2_a17
Wen-Bin Zhang. Random Nonlinear Variational Inclusions Involving \(H(\cdot,\cdot)\)-accretive Operator for Random Fuzzy Mappings in Banach Spaces. Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2011_34_2_a17/