Title | ||
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On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials. |
Abstract | ||
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In this paper, we establish some results which exhibit an application for Michel–Penot subdifferential in nonsmooth vector optimization problems and vector variational-like inequalities. We formulate vector variational-like inequalities of Stampacchia and Minty type in terms of the Michel–Penot subdifferentials and use these variational-like inequalities as a tool to solve the vector optimization problem involving nonsmooth V-invex function. We also consider the corresponding weak versions of the vector variational-like inequalities and establish various results for the weak efficient solutions. |
Year | DOI | Venue |
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2014 | 10.1007/s11590-013-0707-5 | Optimization Letters |
Keywords | Field | DocType |
Michel–Penot subdifferential, Generalized convexity, Nonsmooth optimization, Efficient solution, Vector variational inequalities | Applied mathematics,Mathematical optimization,Vector optimization,Subderivative,Mathematics | Journal |
Volume | Issue | ISSN |
8 | 5 | 1862-4480 |
Citations | PageRank | References |
2 | 0.40 | 8 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vivek Laha | 1 | 15 | 3.39 |
Bader Al-Shamary | 2 | 2 | 1.08 |
S. K. Mishra | 3 | 28 | 8.44 |