EN
On sum of monotone operator of type (FPV) and a maximal monotone operator
Abstract
Keywords
References
- H. H. Bauschke, X. Wang and L. Yao, An answer to S. Simons’ question on the maximal monotonicity of the sum of a maximal monotone linear operator and a normal cone operator, Set-Valued Var. Anal. 17 (2009) 195-201.
- H. H. Bauschke, X. Wang and L. Yao, On the maximal mono tonicity of the sum of a maximal monotone linear relation and the subdifferential operator of a sublinear function, Proceedings of the Haifa Workshop on Optimization Theory and Related Topics. Contemp. Math., Amer. Math. Soc., Providence, RI 568 (2012) 19-26.
- J. M. Borwein, Maximality of sums of two maximal monotone operators in general Banach space, P. Am. Math. Soc. 135 (2007) 3917-3924.
- J. M. Borwein and L. Yao, Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator, Set-Valued Var Anal. 21 (2013) 603-616.
- J. M. Borwein and L. Yao, Structure theory for maximally monotone operators with points of continuity, J. Optim Theory Appl. 157 (2013) 1-24 http://dx.doi.org/10.1007/s10957-012-0162-y.
- J.M. Borwein and L. Yao, Sum theorems for maximally monotone operators of type (FPV), J. Aust. Math. Soc. 97 (2014) 1-26.
- S. Fitzpatrick, Representing monotone operators by convex functions, in Work- shop/Miniconference on Functional Analysis and Optimization (Canberra 1988), Proceedings of the Centre for Mathematical Analysis, Australian National University, Canberra, Australia, 20 (1988) 59-65.
- R.R. Phelps, Convex Functions, Monotone Operators and Differentiability, 2nd Edition, Springer-Verlag, 1993.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
December 31, 2016
Submission Date
April 21, 2016
Acceptance Date
August 14, 2016
Published in Issue
Year 2016 Volume: 4 Number: 4
APA
Pradhan, D. K., & Pattanaik, S. R. (2016). On sum of monotone operator of type (FPV) and a maximal monotone operator. New Trends in Mathematical Sciences, 4(4), 188-197. https://izlik.org/JA63NA85RF
AMA
1.Pradhan DK, Pattanaik SR. On sum of monotone operator of type (FPV) and a maximal monotone operator. New Trends in Mathematical Sciences. 2016;4(4):188-197. https://izlik.org/JA63NA85RF
Chicago
Pradhan, D. K., and S. R. Pattanaik. 2016. “On Sum of Monotone Operator of Type (FPV) and a Maximal Monotone Operator”. New Trends in Mathematical Sciences 4 (4): 188-97. https://izlik.org/JA63NA85RF.
EndNote
Pradhan DK, Pattanaik SR (December 1, 2016) On sum of monotone operator of type (FPV) and a maximal monotone operator. New Trends in Mathematical Sciences 4 4 188–197.
IEEE
[1]D. K. Pradhan and S. R. Pattanaik, “On sum of monotone operator of type (FPV) and a maximal monotone operator”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 188–197, Dec. 2016, [Online]. Available: https://izlik.org/JA63NA85RF
ISNAD
Pradhan, D. K. - Pattanaik, S. R. “On Sum of Monotone Operator of Type (FPV) and a Maximal Monotone Operator”. New Trends in Mathematical Sciences 4/4 (December 1, 2016): 188-197. https://izlik.org/JA63NA85RF.
JAMA
1.Pradhan DK, Pattanaik SR. On sum of monotone operator of type (FPV) and a maximal monotone operator. New Trends in Mathematical Sciences. 2016;4:188–197.
MLA
Pradhan, D. K., and S. R. Pattanaik. “On Sum of Monotone Operator of Type (FPV) and a Maximal Monotone Operator”. New Trends in Mathematical Sciences, vol. 4, no. 4, Dec. 2016, pp. 188-97, https://izlik.org/JA63NA85RF.
Vancouver
1.D. K. Pradhan, S. R. Pattanaik. On sum of monotone operator of type (FPV) and a maximal monotone operator. New Trends in Mathematical Sciences [Internet]. 2016 Dec. 1;4(4):188-97. Available from: https://izlik.org/JA63NA85RF