Research Article

On sum of monotone operator of type (FPV) and a maximal monotone operator

Volume: 4 Number: 4 December 31, 2016
  • D. K. Pradhan *
  • S. R. Pattanaik
EN

On sum of monotone operator of type (FPV) and a maximal monotone operator

Abstract


Keywords

References

  1. 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.
  2. 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.
  3. J. M. Borwein, Maximality of sums of two maximal monotone operators in general Banach space, P. Am. Math. Soc. 135 (2007) 3917-3924.
  4. 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.
  5. 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.
  6. J.M. Borwein and L. Yao, Sum theorems for maximally monotone operators of type (FPV), J. Aust. Math. Soc. 97 (2014) 1-26.
  7. 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.
  8. R.R. Phelps, Convex Functions, Monotone Operators and Differentiability, 2nd Edition, Springer-Verlag, 1993.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

D. K. Pradhan * This is me
India

S. R. Pattanaik This is me
India

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