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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.1
- 발행연도
- 2021.1
- 수록면
- 123 - 137 (15page)
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In this work, we explain an iterative equation for convex solutions in 2-Banach spaces. Our aim is to discuss the existence of monotone solutions in the real 2-Banach spaces and obtain the forward condition under which the solutions are convex or con- cave in order. Using the expansion method, we establish a general construction of the convex solutions for the iterative functional equation.
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참고문헌 (32)
참고문헌 신청
Amann H. / 1976 / Fixed point equations and nonlinear eigenvalue prob-lems in ordered Banach spaces / SIAM Review 18(4):620~709
Baron K / 2001 / Recent results on functional equations in a single variable, perspectives and open problems / Aequationes Mathematicae 61(1-2):1~48
Dhombres J. G. / 1977 / Iteration lineaire dordre deux / Publicationes Mathematicae Debrecen 24(3-4):177~187
Gaahler S. / 1965 / Linear 2-normietre Raume / Math. Nachr 28:1~43
Gaurdal M. / 2006 / On ideal convergent sequences in 2-normed spaces / Thai J. Math 4:85~91
Baron K / 2001 / Recent results on functional equations in a single variable, perspectives and open problems / Aequationes Mathematicae 61(1-2):1~48
Dhombres J. G. / 1977 / Iteration lineaire dordre deux / Publicationes Mathematicae Debrecen 24(3-4):177~187
Gaahler S. / 1965 / Linear 2-normietre Raume / Math. Nachr 28:1~43
Gaurdal M. / 2006 / On ideal convergent sequences in 2-normed spaces / Thai J. Math 4:85~91
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