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Title
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New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions
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Type
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JournalPaper
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Keywords
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-maximal -relaxed -accretiveExtended generalized nonlinear mixed quasi-variational inclusionsPerturbed -step iterative algorithm with mixed errorsResolvent operator techniqueVariational convergence -uniformly smooth Banach spaces
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Abstract
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This paper introduces a new system of extended generalized nonlinear mixed quasi-variational inclusions involving -maximal -relaxed -accretive (so called -accretive (Lan et al. (2006) [37])) mappings in -uniformly smooth Banach spaces. By using the resolvent operator technique for -maximal -relaxed -accretive mappings due to Lan et al., we establish the existence and uniqueness of solution for this system of extended generalized nonlinear mixed quasi-variational inclusions and construct a new perturbed -step iterative algorithm with mixed errors for solving the mentioned system. We also prove the convergence of the sequences generated by our algorithms in -uniformly smooth Banach spaces. The results presented in this paper extend and improve some known results in the literature.
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Researchers
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Mehdi Roohi (Fourth Researcher), Yeol Je Cho (Third Researcher), Javad Balooei (Second Researcher), Mohsen Alimohammady (First Researcher)
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