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In this article, we study a system of generalized set-valued parametric ordered variational inclusion problems with operator $\oplus$ in ordered Banach spaces. We introduce the concept of the resolvent operator associated with $(\alpha, \lambda)$-ANODSM set-valued mapping and establish the existence theorem of solution for the system of generalized set-valued parametric ordered variational inclusion problems in ordered Banach spaces. In order to prove the existence of solution, we suggest an iterative algorithm and discuss the convergence analysis under some suitable mild conditions.
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참고문헌 (38)
참고문헌 신청
R. Ahmad / 2018 / H(·, ·)-orderedcompression mapping for solving XOR-variational inclusion problem / J. Nonlinear Convex Anal 19(12):2189~2201
R. Ahmad / 2015 / Graph convergence for the H(·, ·)-co-accretive mapping with an application / Bull. Malays. Math. Sci. Soc 38(4):1481~1506
Ahmad Rais / 2019 / SOLVING A VARIATIONAL INCLUSION PROBLEM WITH ITS CORRESPONDING RESOLVENT EQUATION PROBLEM INVOLVING XOR-OPERATION / Nonlinear Functional Analysis and Applications 24(3):565~582
I. Ahmad / 2020 / Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings / J. Inequal. Appl :1186
M. Akram / 2018 / Generalized Yosida approximation operator with an application to a system of Yosida inclusions / Nonlinear Funct. Anal :1~20
R. Ahmad / 2015 / Graph convergence for the H(·, ·)-co-accretive mapping with an application / Bull. Malays. Math. Sci. Soc 38(4):1481~1506
Ahmad Rais / 2019 / SOLVING A VARIATIONAL INCLUSION PROBLEM WITH ITS CORRESPONDING RESOLVENT EQUATION PROBLEM INVOLVING XOR-OPERATION / Nonlinear Functional Analysis and Applications 24(3):565~582
I. Ahmad / 2020 / Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings / J. Inequal. Appl :1186
M. Akram / 2018 / Generalized Yosida approximation operator with an application to a system of Yosida inclusions / Nonlinear Funct. Anal :1~20
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