Global bifurcation for k-set contractions without multiplicity assumptions

GLOBAL BIFURCATION PROBLEMS ASSOCIATED WITH k-HESSIAN OPERATORS

In this paper we study global bifurcation phenomena for a class of nonlinear elliptic equations governed by the h-Hessian operator. The bifurcation phenomena considered provide new methods for establishing existence results concerning fully nonlinear elliptic equations. Applications to the theory of critical exponents and the geometry of k-convex functions are considered. In addition, a related...

Multiplicity of Bifurcation Points for Variational Inequalities via Conley Index

where K0 = ⋃ t>0 tK is a closed convex cone. The typical problem one has to face is twofold: (1) find eigenvalues (which is nontrivial, unless K0 is a linear space): (2) ensure that some eigenvalues are bifurcation points (which is not always true, as counterexamples show). Much work has been done in this context; see [11], [15]–[18], [21]–[30], [32]–[34] and the references therein for a more c...

Duality for the class of a multiobjective problem with support functions under $K$-$G_f$-invexity assumptions

‎In this article‎, ‎we formulate two dual models Wolfe and Mond-Weir related to symmetric nondifferentiable multiobjective programming problems‎. ‎Furthermore‎, ‎weak‎, ‎strong and converse duality results are established under $K$-$G_f$-invexity assumptions‎. ‎Nontrivial examples have also been depicted to illustrate the theorems obtained in the paper‎. ‎Results established in this paper unify...

A fixed point result for a new class of set-valued contractions

In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

eAppendix for “Sensitivity Analysis Without Assumptions”