tailieunhanh - Báo cáo hóa học: " Research Article Stability Analysis for Higher-Order Adjacent Derivative in Parametrized Vector Optimization"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Stability Analysis for Higher-Order Adjacent Derivative in Parametrized Vector Optimization | Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010 Article ID 510838 15 pages doi 2010 510838 Research Article Stability Analysis for Higher-Order Adjacent Derivative in Parametrized Vector Optimization X. K. Sun and S. J. Li College of Mathematics and Science Chongqing University Chongqing 400030 China Correspondence should be addressed to X. K. Sun sxkcqu@ Received 29 March 2010 Accepted 3 August 2010 Academic Editor Jong Kim Copyright 2010 X. K. Sun and S. J. Li. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. By virtue of higher-order adjacent derivative of set-valued maps relationships between higher-order adjacent derivative of a set-valued map and its profile map are discussed. Some results concerning stability analysis are obtained in parametrized vector optimization. 1. Introduction Research on stability and sensitivity analysis is not only theoretically interesting but also practically important in optimization theory. A number of useful results have been obtained in scalar optimization see 1 2 . Usually by stability we mean the qualitative analysis which is the study of various continuity properties of the perturbation or marginal function or map of a family of parametrized optimization problems. On the other hand by sensitivity we mean the quantitative analysis which is the study of derivatives of the perturbation function. Some authors have investigated the sensitivity of vector optimization problems. In 3 Tanino studied some results concerning the behavior of the perturbation map by using the concept of contingent derivative of set-valued maps for general multiobjective optimization problems. In 4 Shi introduced a weaker notion of set-valued derivative TP-derivative and investigated the behavior of contingent derivative for the set-valued .

TÀI LIỆU LIÊN QUAN
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.