Existence of best approximant in nonconvex domain

Common fixed points and best approximants in nonconvex domain

The aim of the paper is to show the validity of results of Imdad [7] in a domain which is not necessarily starshaped and mappings are not necessarily linear. Our results also improve, extend and generalize various existing known results in the literature.

A convex approximant method for nonconvex extensions of geometric programming.

Global Existence for Nonconvex Thermoelasticity

We prove global existence for a simplified model of one-dimensional thermoelasticity. The governing equations satisfy the balance of momentum and a modified energy balance. The application we wish to study by investigating this model are shapememory alloys. They are a prominent example of solids undergoing structural phase transitions. A characteristic feature of these materials is that several...

Relation between Best Approximant and Orthogonality in C1-classes

Let E be a complex Banach space and let M be subspace of E. In this paper we characterize the best approximant to A ∈ E from M and we prove the uniqueness, in terms of a new concept of derivative. Using this result we establish a new characterization of the best-C1 approximation to A ∈ C1 (trace class) from M . Then, we apply these results to characterize the operators which are orthogonal in t...

Existence Theorems for Nonconvex Variational Inequalities Problems

In this paper, we prove the existence theorem for a mapping defined by T = T1 + T2 when T1 is a μ1-Lipschitz continuous and γ-strongly monotone mapping, T2 is a μ2-Lipschitz continuous mapping, we have a mapping T is Lipschitz continuous but not strongly monotone mapping. This work is extend and improve the result of N. Petrot [17]. Mathematics Subject Classification: 46C05, 47D03, 47H09, 47H10...