Overview
- Discusses a smooth and unified transition from generalised fractional programming to semi-infinite fractional programming
- Focuses on applications to real-world problems ranging from robotics to medical sciences
- Helps develop a general framework for both theoretical foundations and real-world applications
- Establishes numerous duality theorems for a discrete minmax (or maxmin) semi-infinite fractional programming problem
- Maximizes readers’ insights into applying various new classes of generalised second-order invex functions and second-order univex functions
- Includes supplementary material: sn.pub/extras
Part of the book series: Infosys Science Foundation Series (ISFS)
Part of the book sub series: Infosys Science Foundation Series in Mathematical Sciences (ISFM)
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Table of contents (12 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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In the current interdisciplinary supercomputer-oriented research environment, semi-infinite fractional programming is among the most rapidly expanding research areas in terms of its multi-facet applications empowerment for real-world problems, which may stem from many control problems in robotics, outer approximation in geometry, and portfolio problems in economics, that can be transformed into semi-infinite problems as well as handled by transforming them into semi-infinite fractional programming problems. As a matter of fact, in mathematical optimisation programs, a fractional programming (or program) is a generalisation to linear fractional programming. These problems lay the theoretical foundation that enables us to fully investigate the second-order optimality and duality aspects of our principal fractional programming problem as well as its semi-infinite counterpart.
Authors and Affiliations
About the author
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He has published over 700 research
articles in several international refereed journals including Applied Mathematics and Computation, Applicable Analysis, Archivum Math, Communications in Nonlinear Science and Numerical Simulations, Czechoslovak Mathematical Journal, Electron, Journal of Differential Equations, Journal of Computational Analysis and Applications, Journal of Mathematical Analysis and Applications, Journal of Optimization Theory and Applications, Nonlinear Analysis: TMA, Numerical Functional Analysis and Optimization, Proceedings of the American Mathematical Society, Proceedings of the Royal Irish Academy, and ZAMM: Z. Angew. Math. Mech. He is the founder editor-in-chief of four journals from International Publications: Advances in Nonlinear Variational Inequalities, Communications on Applied Nonlinear Analysis, Pan-American Mathematical Journal, and Transactions on Mathematical Programming and Applications. He is also an associate editor of several international journals, including Applied Mathematics and Computation, International Journal of Mathematics and Mathematical Sciences, Journal of Operators, and Journal of Computational Analysis and Applications.
Bibliographic Information
Book Title: Semi-Infinite Fractional Programming
Authors: Ram U. Verma
Series Title: Infosys Science Foundation Series
DOI: https://doi.org/10.1007/978-981-10-6256-8
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2017
Hardcover ISBN: 978-981-10-6255-1Published: 03 November 2017
Softcover ISBN: 978-981-13-4841-9Published: 11 December 2018
eBook ISBN: 978-981-10-6256-8Published: 24 October 2017
Series ISSN: 2363-6149
Series E-ISSN: 2363-6157
Edition Number: 1
Number of Pages: XI, 291
Topics: Optimization, Statistics for Business, Management, Economics, Finance, Insurance, Economic Theory/Quantitative Economics/Mathematical Methods