Multi-Criteria Optimization Problems with Non-Smooth Functions

H. S. Faruque Alam
H. S. Faruque Alam
University of Chittagong University of Chittagong

Send Message

To: Author

Multi-Criteria Optimization Problems with Non-Smooth Functions

Article Fingerprint

ReserarchID

WRRE1

Multi-Criteria Optimization Problems with Non-Smooth Functions Banner

AI TAKEAWAY

Connecting with the Eternal Ground
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu
Font Type
Font Size
Font Size
Bedground

Abstract

In this paper, we deal with non-smooth multi criteria optimization problem. Throughout the text we consider the functions which are non-differentiable. A few special derivatives have been deployed to obtain first order optimality conditions. We presented the generalized form of optimality conditions for multi-objective optimization problem when classical derivatives failed to apply. We illustrate these optimality conditions by means of suitable examples.

References

9 Cites in Article
  1. G Bigi (1983). Optimality and Lagrangian Regularity in Vector Optimization.
  2. O Stein (2004). On Constraint Qualifications in Nonsmooth Optimization.
  3. X Yang (1998). A Generalized Upper Dini-Derivative in Vector Optimization.
  4. X Yang,V Jeyakumar (1992). Generalized second-order directional derivatives and optimization with C<sup>1,1</sup> functions.
  5. V Preda,I Chiţescu (1999). On Constraint Qualification in Multiobjective Optimization Problems: Semidifferentiable Case.
  6. L Kuntz,S Scholtes (1994). A Nonsmooth Variant of the Mangasarian-Fromovitz Constraint Qualification.
  7. L Kuntz,S Scholtes (1993). Constraint Qualifications is in Quasi differentiable Optimization.
  8. P Laurent (1972). Approximation et Optimization.
  9. J Tiel (1984). Convex Analysis an Introductory Text.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

H. S. Faruque Alam. 2016. \u201cMulti-Criteria Optimization Problems with Non-Smooth Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 16 (GJSFR Volume 16 Issue F4).

Download Citation

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2010: 46N10
Version of record

v1.2

Issue date
July 5, 2016

Language
en
Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

Article Matrices
Total Views: 3779
Total Downloads: 1783
2026 Trends
Related Research
Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

Multi-Criteria Optimization Problems with Non-Smooth Functions

H. S. Faruque Alam
H. S. Faruque Alam <p>University of Chittagong</p>

Research Journals