Generalized Caristi's fixed point theorems.
Generalized co-complementarity problems in -uniformly smooth Banach spaces.
Generalized common fixed point theorems for a sequence of fuzzy mappings.
Generalized communication conditions and the eigenvalue problem for a monotone and homogenous function
This work is concerned with the eigenvalue problem for a monotone and homogenous self-mapping of a finite dimensional positive cone. Paralleling the classical analysis of the (linear) Perron–Frobenius theorem, a verifiable communication condition is formulated in terms of the successive compositions of , and under such a condition it is shown that the upper eigenspaces of are bounded in the projective sense, a property that yields the existence of a nonlinear eigenvalue as well as the projective...
Generalized contractions and fixed-point theorems.
Generalized degree in normed spaces.
We present a generalized degree theory for continuous maps f: (D, ∂D) → (E, E0), where E is a normed vectorial space, D is an open subset of Rk x E such that p1(D) is bounded in Rk and f is a compact perturbation of the second projection p2: Rk x E → E.
Generalized dissipativeness in a Banach space.
Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.
Generalized first-order nonlinear evolution equations and generalized Yosida approximations based on -maximal monotonicity frameworks.
Generalized fuzzy random set-valued mixed variational inclusions involving random nonlinear -accretive mappings in Banach spaces.
Generalized gradients for locally Lipschitz integral functionals on non--type spaces of measurable functions
Let (Ω,μ) be a measure space, E be an arbitrary separable Banach space, be the dual equipped with the weak* topology, and g:Ω × E → ℝ be a Carathéodory function which is Lipschitz continuous on each ball of E for almost all s ∈ Ω. Put . Consider the integral functional G defined on some non--type Banach space X of measurable functions x: Ω → E. We present several general theorems on sufficient conditions under which any element γ ∈ X* of Clarke’s generalized gradient (multivalued C-subgradient)...
Generalized IFSs on noncompact spaces.
Generalized Mann iterations for approximating fixed points of a family of hemicontractions.
Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings.
Generalized nonlinear mixed quasi-variational inequalities involving maximal -monotone mappings.
Generalized nonlinear variational inclusions involving -monotone mappings in Hilbert spaces.
Generalized set-valued variational-like inclusions and Wiener--Hopf equations in Banach spaces.
Generalized Variational Inequalities for Upper Hemicontinuous and Demi Operators with Applications to Fixed Point Theorems in Hilbert Spaces
∗ The final version of this paper was sent to the editor when the author was supported by an ARC Small Grant of Dr. E. Tarafdar.Existence theorems of generalized variational inequalities and generalized complementarity problems are obtained in topological vector spaces for demi operators which are upper hemicontinuous along line segments in a convex set X. Fixed point theorems are also given in Hilbert spaces for set-valued operators T which are upper hemicontinuous along line segments in X such...
Generalized variational inequalities of the Hartman-Stampacchia-Browder type.
Generalized variational-like inequalities for pseudo-monotone type III operators
Our aim in this paper is mainly to prove some existence results for solutions of generalized variational-like inequalities with (η,h)-pseudo-monotone type III operators defined on non-compact sets in topological vector spaces.