[PDF] Top 20 Fixed Point for t−φ(t,u,v) Mixed Monotone Model Operator

... In this paper, we will study the existence and uniqueness of fixed point of a kind of mixed monotone operator. The resulting conclusion essentially improves the relevant results ... See full document

... the fixed point theorem for mixed monotone operator in the normal cone P n ( ) ...basic fixed point iteration method and multi-step stationary iterative ... See full document

... of mixed monotone operators has been a lot of discussion since they were introduced by Guo and Lakshmikantham (see [1]) in 1987, because they have not only important theoretical meaning but also wide ... See full document

... solving mixed variational inequalities. If the nonlinear term ϕ in the mixed variational inequalities is a proper, convex and lower semicontinuous function, then the variational inequalities in- volving the ... See full document

... α-convex operator and showed that for α ≥ , decreasing (–α)-convex mappings have contraction ratios less than or equal to α and gave the ex- istence of solutions to the nonlinear eigenvalue problem Ax = ... See full document

... (u, v), Z = (z, w). In view of the definition of G α ,β , we have G α ,β (T (X), T (Y ), T (Z)) = αG(F (x, y), F(u, v), F(z, w)) + β G(F(y, x), F (v , u), F ... See full document

... authors claimed that “we note that this is the first work to our knowledge that deals with singular boundary value problems in a general time scales setting.” The results on existence of positive solutions were obtained ... See full document

... = t/ and ψ (t) = t/, for t ∈ [, ∞ ), then with this choice of functions, we can obtain the already existing contractive ...= t/(t + ) and ψ (t) = t/, for ... See full document

... fixed point theorems for mappings satisfying the mixed monotone property and also discussed an application of their result by investigating the existence and uniqueness of a solution of the periodic ... See full document

... are mixed monotone and increasing α-concave (or sub- homogeneous), ...fixed point theo- rem for increasing general α-concave operators, we established the existence and unique- ness of positive ... See full document

... let T be a mapping from C into itself. We use FT to denote the set of fixed points of T ; that is, FT {x ∈ C : x ...self-mapping T : C → C is hemi-relatively nonexpansive if FT / ∅ and φu, Tx ... See full document

... fixed point index theory, the properties of cone and fixed point theorems for a mixed monotone operator, the existence results of positive solutions for singular and nonsingular nonlinear ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...of mixed ... See full document

... Mixed monotone operator is an important nonlinear ...of mixed monotone operators in partially ordered Banach spaces requires compactness, continuity or concavity-convexity of the ... See full document

... Motivated by the work reported in [–], the aim of this paper is to discuss the existence and uniqueness of a fixed point (A(u, u, u) = u type) for mixed monotone ternary ... See full document

... general mixed variational inequality containing a nonlinear term ϕ. Finding fixed points of a nonlinear mapping is an equally important problem in the functional ...Equivalent fixed point ... See full document

... By fixed point theorem of a mixed monotone operator, we study boundary value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for ... See full document

... fixed point theory such as the Banach contrac- tion mapping principle [] from the point of view of ...the mixed monotone property in the context of partially ordered metric ... See full document

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...of mixed monotone mappings and obtained some coupled fixed point ...fixed ... See full document

... uniqueness fixed point theorems for mixed g- monotone mapping in any number of variables under general contractive conditions in partially ordered metric spaces by using the condition of weak ... See full document