Infosys Science Foundation Series in Mathematical Sciences

Semi-Infinite Fractional Programming

Authors: Verma, Ram U.

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  • 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

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eBook $109.00
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  • ISBN 978-981-10-6256-8
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Hardcover $139.99
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  • ISBN 978-981-10-6255-1
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
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  • ISBN 978-981-13-4841-9
  • Free shipping for individuals worldwide
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About this book

This book presents a smooth and unified transitional framework from generalised fractional programming, with a finite number of variables and a finite number of constraints, to semi-infinite fractional programming, where a number of variables are finite but with infinite constraints. It focuses on empowering graduate students, faculty and other research enthusiasts to pursue more accelerated research advances with significant interdisciplinary applications without borders. In terms of developing general frameworks for theoretical foundations and real-world applications, it discusses a number of new classes of generalised second-order invex functions and second-order univex functions, new sets of second-order necessary optimality conditions, second-order sufficient optimality conditions, and second-order duality models for establishing numerous duality theorems for discrete minmax (or maxmin) semi-infinite fractional programming problems. 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.

About the authors

RAM U. VERMA is president of International Publications, USA. Before joining Texas State University, he held several academic positions, ranging from lecturer to assistant professor, associate professor, and full professor at the University of Cape Coast, the University of Tripoli, the University of Orient, the University of Puerto Rico, New York University (visiting faculty), the University of Central Florida, Mount Olive College, Duke University (visiting scholar) and the University of Toledo. His research interests encompass mathematical programming, fractional programming, semi-infinite fractional programming, multi-objective fractional programming, numerical analysis, generalised Newton’s methods, new generation Newton-type methods, nonlinear functional analysis, applied analysis, evolution equations and semigroups, stochastic analysis, mathematics education, and determinant theory for singular integral equations. 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.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-981-10-6256-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-981-10-6255-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-981-13-4841-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Semi-Infinite Fractional Programming
Authors
Series Title
Infosys Science Foundation Series in Mathematical Sciences
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-6256-8
DOI
10.1007/978-981-10-6256-8
Hardcover ISBN
978-981-10-6255-1
Softcover ISBN
978-981-13-4841-9
Series ISSN
2364-4036
Edition Number
1
Number of Pages
XI, 291
Topics