Result: Generalized saddle points in multi-objective bilinear programming

Title:
Generalized saddle points in multi-objective bilinear programming
Authors:
Jain, Shashi, Bhatia, Davinder
Publisher Information:
Springer India, New Delhi, Delhi, India; Operational Research Society of India, Kolkata, West Bengal, India
Subject Terms:
Sensitivity, stability, parametric optimization, bilinear programming, generalized saddle points, multiobjective linear programming
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/4016622
Accession Number:
edsair.c2b0b933574d..4f57843cfe13694cfb7f91a085da3928
Database:
OpenAIRE

Further Information

This not clearly written paper tries to link the theory of multiobjective linear programming to the theory of generalized saddle points as introduced by \textit{W. Rödder} [Eur. J. Oper. Res. 1, 55-59 (1977; Zbl 0383.90099)]. Lemma 1 is formulated ambiguously and therefore the proof of Lemma 2 does not seem to be correct. See also related work by \textit{F. Ferro} [Ann. Mat. Pura Appl., IV. Ser. 132, 113-130 (1982; Zbl 0508.49010)].