22 research outputs found
Equivalence class in the set of fuzzy numbers and its application in decision-making problems
An equivalence relation is defined in the set of fuzzy numbers. In
a particular equivalence class, arithmetic operations of fuzzy
numbers are introduced. A fuzzy matrix with respect to a
particular class and its associated crisp matrices are also
introduced. The concept of equivalence class is applied in fuzzy
decision-making problems and justified through a numerical
example
A remark on a complementarity problem in Banach space
We give a modified proof of the theorem given in an earlier paper of the author (1994)
Nonlinear analysis
"Nonlinear analysis" presents recent developments in calculus in Banach space, convex sets, convex functions, best approximation, fixed point theorems, nonlinear operators, variational inequality, complementary problem and semi-inner-product spaces. Nonlinear Analysis has become important and useful in the present days because many real world problems are nonlinear, nonconvex and nonsmooth in nature. Although basic concepts have been presented here but many results presented have not appeared in any book till now. The book could be used as a text for graduate students and also it will be useful for researchers working in this field