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Sufficient Optimality Criteria for Optimization Problem Involving Pseudoconvex Interval Objective Function

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Proceedings of the Seventh International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1412))

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Abstract

In this article, the pseudoconvex property of a class of functions, whose parameters vary within some closed intervals, is studied under generalized Hukuhara differentiability concept. The necessary and sufficient condition for the existence of a critical point of interval-valued minimization problem is derived using descent property. Sufficient optimality conditions are established for a critical point to be a weak efficient point under pseudoconvexity assumption. Numerical illustrations are provided to justify the theoretical results.

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Author information

Authors and Affiliations

  1. Indian Institute of Technology Kharagpur, Kharagpur, India

    Priyanka Roy

  2. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-721302, W.B, India

    Geetanjali Panda

Authors
  1. Priyanka Roy
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  2. Geetanjali Panda
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Corresponding author

Correspondence to Priyanka Roy .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, India

    Debasis Giri

  2. The University of Texas at San Antonio, San Antonio, TX, USA

    Kim-Kwang Raymond Choo

  3. Department of Mathematics, Indian Institute of Technology Madras, Chennai, India

    Saminathan Ponnusamy

  4. Technical University of Denmark, Kongens Lyngby, Denmark

    Weizhi Meng

  5. Department of Computer Engineering, Ondokuz Mayis University, Atakum, Turkey

    Sedat Akleylek

  6. Department of Information Technology, Indian Institute of Engineering Science and Technology, West Bengal, India

    Santi Prasad Maity

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Roy, P., Panda, G. (2022). Sufficient Optimality Criteria for Optimization Problem Involving Pseudoconvex Interval Objective Function. In: Giri, D., Raymond Choo, KK., Ponnusamy, S., Meng, W., Akleylek, S., Prasad Maity, S. (eds) Proceedings of the Seventh International Conference on Mathematics and Computing . Advances in Intelligent Systems and Computing, vol 1412. Springer, Singapore. https://doi.org/10.1007/978-981-16-6890-6_50

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