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A new gap function for vector variational inequalities with an application
(Hindawi Limited, 2013-01-01)
We consider a vector variational inequality in a finite-dimensional space. A new gap function is proposed, and an equivalent optimization problem for the vector variational inequality is also provided. Under some suitable ...
Three solutions to a class of neumann doubly eigenvalue elliptic systems driven by a (p1,...,pn)-laplacian
(The Korean Mathematical Society, 2010-11-30)
In this paper we establish the existence of at least three weak solutions for Neumann doubly eigenvalue elliptic systems driven by a (P-1, ... , p(n))-Laplacian. Our main tool is a recent three critical points theorem of ...
Fixed point theorems for ws-compact mappings in banach spaces
(Springer Nature, 2010-01-01)
We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the ...
Positive solutions of singular complementary lidstone boundary value problems
(Springer Nature, 2010-01-01)
We investigate the existence of positive solutions of singular problem (-1)(m)x((2m+1)) = f(t, x, ..., x((2m))), x(0) = 0, x((2i-1))(0) = x((2i-1))(T) = 0, 1 <= i <= m. Here, m >= 1 and the Caratheodory ...
Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations
(Rocky Mountain Mathematics Consortium, 2012-06-01)
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several ...
Inclusion and intersection theorems with applications in equilibrium theory in g-convex spaces
(The Korean Mathematical Society, 2010-09-01)
In this paper we obtain a very general theorem of rho-compatibility for three multivalued mappings, one of them from the class B. More exactly, we show that given a G-convex space Y, two topological spaces X and Z, a ...
Browder-krasnoselskii-type fixed point theorems in banach spaces
(Springer Nature, 2010-01-01)
We present some fixed point theorems for the sum A + B of a weakly-strongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.
Persistence and stationary distribution of a stochastic predator-prey model under regime switching
(American Institute of Mathematical Sciences (AIMS), 2017-02-01)
Taking both white noise and colored environment noise into account, a predator-prey model is proposed. In this paper, our main aim is to study the stationary distribution of the solution and obtain the threshold between ...
Existence and asymptotic stability of solutions of a perturbed fractional functional-integral equation with linear modification of the argument
(The Korean Mathematical Society, 2011-05-31)
We study the solvability of a perturbed quadratic functional-integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions defined, bounded ...
Singular integral equations and applications to nonlinear conjugate problems
(The Mathematical Society of the Republic of China, 2010-04-01)
In this paper, we establish the existence of multiple positive solutions for singular integral equations. The proof is based on a general existence principle established using a nonlinear alternative principle of Leray-Schauder ...