[PDF] Top 20 Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

... fixed point theorems for the contraction mappings have been im- proved and generalized in different ...extensive applications to the nonlinear integral equations, there were many researchers to ... See full document

... 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

... Mixed monotone operators are an important class of operators which are used intensively in engineering, nuclear physics, biology, chemistry, technology, ...of operators in Banach spaces and ... See full document

... On the other hand, singular boundary value problems on time scales have also been investigated extensively see 23–27. We would like to mention some results of DaCunha et al. 23, Hao et al. 25, Luo 26, and Hu 27, ... See full document

... mixed monotone operators were introduced by Guo and Laksh- mikantham [] in ...wide applications in engineering, nuclear physics, biological chemistry technology, ...in nonlinear differential ... See full document

... Fixed point theorems for nonlinear operators on partially ordered Banach spaces have many applications in nonlinear equations and many other subjects ...of fixed ... See full document

... Fixed point theory, which is an important branch modern mathematics, has been extensive- ly studied in different framework of ...that fixed point problems of nonlinear ... See full document

... fixed point theory has been a very powerful and important tool in the study of mathematical ...fixed point of nonlinear mappings by using iterative methods, and applied the obtained results to many ... See full document

... the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator and a inverse strongly monotone ... See full document

... fixed point for a self mapping f : X → X is a point x ∈ X such that fx = ...The applications of fixed point theorems are very important in diverse disciplines of mathematics, statistics, ... See full document

... convergence theorems of the sequence generated by the algorithm to a zero of the sum of two monotone operators and fixed point of mappings are ...some applications and the constructed ... See full document

... of fixed point in partially ordered sets has been considered recently in ...existence theorems for fuzzy differential ...some applications to matrix equations and to ordinary differential ... See full document

... Theorem TT 2. Let C be a closed convex subset of a real Hilbert space H, and let F : C × C → R be a bifunction satisfying (A1), (A2), (A3) and (A4). Let A be an α-inverse-strongly monotone mapping of C into H and ... See full document

... common fixed point x ∗ ∈ F(T ) , where F(T ) denotes the set of common fixed point of the nonexpansive ...The point x * solves the variational in-equality 〈(g f −A ) x* , x−x*〉 ≤ 0 for ... See full document

... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...in nonlinear differential and ... See full document

... In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an ... See full document

... Mixed monotone operator is an important nonlinear ...of nonlinear differential and integral ...mixed monotone operators in partially ordered Banach spaces requires compactness, ... See full document

... Khojasteh, F, Razani, A: Fixed point theorems for single-valued and multi-valued mixed monotone operators of Meir-Keeler type. Nonlinear Convex Anal[r] ... See full document

... In this case, 0, 0 and 1, 1 are both coupled fixed points of F and hence the coupled fixed point of F is not unique. This shows that the condition k < 1 in corollary 2.12 and hence k l < 1 in ... See full document

... in nonlinear analysis to the setting of gauge ...Our theorems generalize and complement some analogous results in the literature, also in the sense of ordered sets and oriented ... See full document