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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 경남대학교 기초과학연구소 Nonlinear Functional Analysis and Applications Nonlinear Functional Analysis and Applications Vol.26 No.4
- 발행연도
- 2021.12
- 수록면
- 717 - 731 (15page)
- DOI
- 10.22771/nfaa.2021.26.04.05
이용수
초록· 키워드
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In this paper, we introduce and study a new class of random generalized nonlinear implicit variational-like inclusion with random fuzzy mappings in a real separable Hilbert space and give its fixed point formulation. Using the fixed point formulation and the proximal mapping technique for strongly maximal monotone mapping, we suggest and analyze a random iterative scheme for finding the approximate solution of this class of inclusion. Further, we prove the existence of solution and discuss the convergence analysis of iterative scheme of this class of inclusion. Our results in this paper improve and generalize several known results in the literature.
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참고문헌 (23)
참고문헌 신청
R. Ahmad / 2005 / An iterative algorithm for random generalized nonlinear mixed variational inclusions for random fuzzy mappings / Appl. Math. Comput 167:1400~1411
S. S. Chang / 1984 / Fixed point theory with applications / Chongqing Publishing House
S. S. Chang / 1993 / Random generalized random set-valued quasicomplementarity problems / Acta Math. Sinica 16:395~405
S. S. Chang / 1989 / On variational inequalities for fuzzy mappings / Fuzzy Sets Syst 32:359~367
X. P. Ding / 1999 / Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings / Comput. Math. Appl 38:231~249
S. S. Chang / 1984 / Fixed point theory with applications / Chongqing Publishing House
S. S. Chang / 1993 / Random generalized random set-valued quasicomplementarity problems / Acta Math. Sinica 16:395~405
S. S. Chang / 1989 / On variational inequalities for fuzzy mappings / Fuzzy Sets Syst 32:359~367
X. P. Ding / 1999 / Algorithm of solutions for mixed implicit quasi-variational inequalities with fuzzy mappings / Comput. Math. Appl 38:231~249
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