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Suchismita Tarafdar

Bio: Suchismita Tarafdar is an academic researcher from Shiv Nadar University. The author has contributed to research in topics: Differentiable function & Nonlinear programming. The author has an hindex of 6, co-authored 11 publications receiving 63 citations.

Papers
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01 Jan 2012
TL;DR: In this paper, a generalized approach to envelope theorems that applies across a broad class of parameterized nonlinear optimization problems that arise typically in economic applications is developed. But the approach is limited to the case where the value function is locally Lipschitz and/or Clarke.
Abstract: We develop a generalized approach to envelope theorems that applies across a broad class of parameterized nonlinear optimization problems that arise typically in economic applications. In particular, we provide su¢ cient conditions under which the value function for a nonconvex, and/or nonsmooth program is locally Lipschitz and/or Clarke �

Cited by
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Book ChapterDOI
01 Jan 1985
TL;DR: The first group of results in fixed point theory were derived from Banach's fixed point theorem as discussed by the authors, which is a nice result since it contains only one simple condition on the map F, since it is easy to prove and since it nevertheless allows a variety of applications.
Abstract: Formally we have arrived at the middle of the book. So you may need a pause for recovering, a pause which we want to fill up by some fixed point theorems supplementing those which you already met or which you will meet in later chapters. The first group of results centres around Banach’s fixed point theorem. The latter is certainly a nice result since it contains only one simple condition on the map F, since it is so easy to prove and since it nevertheless allows a variety of applications. Therefore it is not astonishing that many mathematicians have been attracted by the question to which extent the conditions on F and the space Ω can be changed so that one still gets the existence of a unique or of at least one fixed point. The number of results produced this way is still finite, but of a statistical magnitude, suggesting at a first glance that only a random sample can be covered by a chapter or even a book of the present size. Fortunately (or unfortunately?) most of the modifications have not found applications up to now, so that there is no reason to write a cookery book about conditions but to write at least a short outline of some ideas indicating that this field can be as interesting as other chapters. A systematic account of more recent ideas and examples in fixed point theory should however be written by one of the true experts. Strange as it is, such a book does not seem to exist though so many people are puzzling out so many results.

994 citations

Book
21 Feb 1970

986 citations

Posted Content
TL;DR: In this article, all Matlab and C++ programs necessary to produce the results of the article were described and a spreadsheet with Mexican data was also provided, along with a spreadsheet containing Mexican data.
Abstract: All Matlab and C++ programs necessary to produce the results of the article. There is also a Excel spreadsheet with Mexican data.

150 citations