Semi-Infinite Fractional Programming

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 researcharticles 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.

Higher Order Parametric Optimality Conditions.- Parametric Duality Models.- New Generation Parametric Optimality.- Accelerated Roles for Parametric Optimality.- Semiinfinite Multiobjective Fractional Programming I.- Semiinfinite Multiobjective Fractional Programming II.- Semiinfinite Multiobjective Fractional Programming III.- Hanson-Antczak-type V-invexity I.- Hanson-Antczak-type V-invexity II.- Parameter Optimality in Semiinfinite Fractional Programs.- Semiinfinite Discrete Minmax Fractional Programs.- Next Generation Semiinfinite Discrete Fractional Programs.- Hanson-Antczak-type Sonvexity III.- Semiinfinite Multiobjective Optimization.