Mathematical Programming Problems with Equilibrium Constraints

Kin Keung Lai earned his Ph.D. from Michigan State University in the USA in 1977. He is currently a Professor at the International Business School of Shaanxi Normal University and holds the position of Honorary Professor in the Department of Industrial and Manufacturing Systems Engineering at The University of Hong Kong. Previously, he served as a Chair Professor of Management Science at City University of Hong Kong. Prof. Lai is recognized as an Academician of the International Academy of Systems and Cybernetic Sciences (Austria) and was honored as a Changjiang Scholar Chair Professor by the Ministry of Education (China). He has authored over 10 books and numerous journal articles. His research focuses on supply chain and operations management, business analytics, computational intelligence, and financial risk management. He is ranked as the top 2% Scientists of the World by Elsevier and Stanford University in 2022-2024. Professor Lai has published over 1020 academic papers in which over 400 are indexed by SCI/SSCI. He has also published over 54 books. His google citation rate is over 24000 and his h-Index is 74.

Shashi Kant Mishra was born in Varanasi, Uttar Pradesh, India, 1967. He completed his Ph.D. degree from the Department of Mathematical Sciences, IIT (BHU) Varanasi, India. He is currently a Senior professor with the Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi. He has supervised 23 scholars. Till date, he has published 11 books and more than 200 research articles in reputed international journals. Google citation rate is over 6500 and his h-Index is 40. His current research interests include mathematical programming with equilibrium, vanishing and switching constraints, invexity, applied mathematics, multiobjective optimization, nonlinear programming, linear programming, variational inequalities, continuous optimization, global optimization, nonsmooth analysis, convex optimization, nonlinear optimization, and numerical optimization. He has received INSA Teacher Award 2020 from Indian National Science Academy, New Delhi and DST Fast Track Fellow 2001 from Ministry of Science and Technology, Government of India.

Vandana Singh was born in Varanasi, Uttar Pradesh, India, 1996 and pursued her early studies in mathematics with a B.Sc. and M.Sc. degree from Udai Pratap College, Varanasi. She is currently pursuing the Ph.D. degree as a Research Fellow in Department of Mathematical Sciences, Indian Institute of Technology (BHU). She is awarded Junior Research Fellowship (JRF) by, Council of Scientific and Industrial Research and qualified Graduate Aptitude Test in Engineering (GATE) in Mathematics in 2021 and 2022. Since 2022, she is working on Generalized Convexity and Nonsmooth Analysis.

Soumya Rath was born in Jajpur, Odisha, and pursued her early studies in mathematics with a B.Sc. degree from College of Basic Sciences and Humanities, Odisha University of Agriculture and Technology, Bhubaneswar, Odisha. She received her M.Sc. in Mathematics degree from University of Delhi, New Delhi, India. Currently, she is pursuing Ph.D. as Research Fellow in Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India, where she has been working since 2022 on Generalized Convexity and Nonsmooth Analysis under the supervision of Prof. S. K. Mishra. She qualified the Graduate Aptitude Test in Engineering (GATE) in Mathematics in 2022.