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This paper is dedicated to study a new class of general nonlin-ear random A-maximal m-relaxed η-accretive (so called (A, η)-accretive[49]) equations with random relaxed cocoercive mappings and randomfuzzy mappings in q-uniformly smooth Banach spaces. By utilizing theresolvent operator technique for A-maximal m-relaxed η-accretive map-pings due to Lan et al. and Chang’s lemma [13], some new iterativealgorithms with mixed errors for finding the approximate solutions of theaforesaid class of nonlinear random equations are constructed. The con-vergence analysis of the proposed iterative algorithms under some suitableconditions are also studied.
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참고문헌 (24)
참고문헌 신청
A. Bensoussan / 1973 / Contr?ole impulsionnel et in´equations quasi- variationnelles stationnaires / C. R. Acad. Sci. Paris S´er 276 : 1279 ~ 1248
J. Balooee / 2011 / The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities / Fixed Point Theory Appl 2011 (86) : 34
J. Balooee / 2012 / Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities / J. Appl. Math 2012 : 18 ~
J. P. Aubin / 1979 / Mathematical Methods of Game and Economics Theory / North-Holland
M. Alimohammady / 2009 / A new system of non- linear fuzzy variational inclusions involving (A, )-accretive mappings in uniformly smooth Banach spaces / J. Inequal. Appl 2009
J. Balooee / 2011 / The Wiener-Hopf equation technique for solving general nonlinear regularized nonconvex variational inequalities / Fixed Point Theory Appl 2011 (86) : 34
J. Balooee / 2012 / Projection methods and a new system of extended general regularized nonconvex set-valued variational inequalities / J. Appl. Math 2012 : 18 ~
J. P. Aubin / 1979 / Mathematical Methods of Game and Economics Theory / North-Holland
M. Alimohammady / 2009 / A new system of non- linear fuzzy variational inclusions involving (A, )-accretive mappings in uniformly smooth Banach spaces / J. Inequal. Appl 2009
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