5 Best Books on Generalized Convexity

We have compiled a list of the Best Reference Books on Generalized Convexity, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of Generalized Convexity Books with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Generalized Convexity below.

 
1."Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization" by Qamrul Hasan Ansari and C S Lalitha
“Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization” Book Review: The book explains the concepts of generalised convexity, nonsmooth variational inequalities, and nonsmooth optimization, and brings them together in one place. It discusses generalised convexity and monotonicity in detail for both cases where functions are differentiable and where they are not. The book introduces bifunction and Clarke subdifferential concepts in cases where functions are not differentiable. It also discusses variational inequalities and optimization problems in both smooth and nonsmooth settings, including criteria for their existence and uniqueness, gap functions, and numerical methods for solving them. The book further analyses the solution set of an optimization problem and examines variational inequalities defined by a bifunction and set-valued version given in terms of the Clarke subdifferential. Finally, it integrates the results on convexity, monotonicity, and variational inequalities.

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2."Generalized Convexity, Generalized Monotonicity: Recent Results (Nonconvex Optimization and Its Applications)" by Jean-Pierre Crouzeix and Juan Enrique Martinez Legaz
“Generalized Convexity, Generalized Monotonicity: Recent Results (Nonconvex Optimization and Its Applications)” Book Review: This book is about a recent development in mathematics called generalized convexity and generalized monotonicity. It covers various topics such as stochastic programs, error bounds, convexity space, pseudo monotonicity, and more. It talks about how these concepts can be applied to different types of functions, including quasiconvex and ρ-convex functions. The book also includes a survey and explores the relationship between generalized convexity and variational inequalities. Finally, it discusses the notion of invexity in vector optimization, multiobjective quadratic problems, and generalized concavity in multiobjective programming.

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3."Generalized Convexity and Optimization: Theory and Applications (Lecture Notes in Economics and Mathematical Systems)" by Alberto Cambini and Laura Martein
“Generalized Convexity and Optimization: Theory and Applications (Lecture Notes in Economics and Mathematical Systems)” Book Review: This book is about the theory and practical applications of generalized convexity and optimization. It covers the following chapters: Convex Functions, Non-Differentiable Generalized Convex Functions, Differentiable Generalized Convex Functions, Optimality and Generalized Convexity, Generalized Convexity and Generalized Monotonicity, Generalized Convexity of Quadratic Functions, Generalized Convexity of Some Classes of Fractional Functions, and Sequential Methods for Generalized Convex Fractional Programs. At the end of the book, solutions to the exercise problems are also provided.

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4."Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series)" by Eugene Fink and Derick Wood
“Restricted-Orientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series)” Book Review: This book is intended for research analysts who study restrict oriented convexity. It begins by briefly introducing the concept of convex sets, and then goes on to discuss restricted orientation polynomials, restricted orientation convexity in multidimensional space, and a review of standard convexity. It also covers related notions of convex hulls and kernels, ortho-convexity and strong ortho-convexity, and topological generalization of convex sets. The book concludes with main results, comparisons of different convexities, and conjectures.

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5."Some Topics in Generalized Convexity" by Waqquas Ahmed Bukhsh
“Some Topics in Generalized Convexity” Book Review: This book covers important topics in the field of general convexity that are relevant for students and researchers in optimization, management sciences, operations research, and economics. It begins by discussing recent developments in generalized convexity and provides a review of complex analysis to help readers understand the complex concepts of generalized convexity and variational inequalities.

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We have put a lot of effort into researching the best books on Generalized Convexity and came out with a recommended list and their reviews. If any more book needs to be added to this list, please email us. We are working on free pdf downloads for books on Generalized Convexity and will publish the download link here. Fill out this Generalized Convexity books pdf download" request form for download notification.

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