Some new results on the existence of coincidence points for multivalued f -contractive maps have been obtained. Our results improve and extend various known results existing in the literature.

A generalized Cahn--Hilliard model in a bounded interval of the real line with no-flux boundary conditions is considered. The label ``generalized'' refers to fact that we consider concentration dependent mobility, $p$-Laplace operator $p > 1$ and double well potential form $F(u)=\frac{1}{2\theta}|1-u^2|^\theta$, $\theta 1$; these terms replace, respectively, constant linear Laplace $C^2$ satisf...

In this article, we prove the existence of a best proximity point for F contractive nonself mappings and state some results in the complete metric spaces. Also we define two kinds of F proximal contraction and extend some best proximity theorems and improve the recent results. 2010 Mathematics Subject Classification: 46N40; 47H10; 54H25; 46T99

We study the tilt dependence of the pinning-depinning transition for an interface described by the anisotropic quenched Kardar-Parisi-Zhang equation in 2+1 dimensions, where the two signs of the nonlinear terms are different from each other. When the substrate is tilted by m along the positive sign direction, the critical force F(c)(m) depends on m as F(c)(m)-F(c)(0) approximately -|m|(1.9(1))....

We classify all integrable triples in simple Lie algebras, up to equivalence. The importance of this problem stems from the fact that for each such equivalence class one can construct corresponding hierarchy bi-Hamiltonian PDE. simplest triple $(f,0,e)$ $\mathfrak{sl}_2$ corresponds KdV hierarchy, and $(f,0,e_\theta)$, where $f$ is sum negative root vectors $e_\theta$ highest vector a algebra, ...

Evidence is presented suggesting, for the first time, that the protein foldability metric sigma = (T(theta)-T(f))/T(theta), where T(theta) and T(f) are, respectively, the collapse and folding transition temperatures, could be used also to measure the foldability of RNA sequences. These results provide further evidence of similarities between the folding energy landscapes of proteins and RNA. Th...

In this paper, we prove existence of a coupled coincidence point theorem and coupled common fixed point theorem for φ-contractive mappings in partially ordered complete metric space without the mixed g-monotone property by using the concept of an (F, g)-invariant set. We prove some coupled fixed point theorems for such nonlinear contractive mappings in a complete metric space.Our results are ge...

Jacobians of curves are the best understood abelian varieties. There are many geometric ways of constructing curves in jacobians whereas it is difficult to construct interesting curves in most other abelian varieties. In this paper and its sequels we introduce methods for determining whether a given curve in a jacobian deforms with it when the jacobian deforms to a non-jacobian. We apply these ...

In a fuzzy metric space (X;M; *), where * is a continuous t-norm,a locally fuzzy contraction mapping is de ned. It is proved that any locally fuzzy contraction mapping is a global fuzzy contractive. Also, if f satis es the locally fuzzy contractivity condition then it satis es the global fuzzy contrac-tivity condition.    

We classify simply-connected, orientable, complete Willmore surfaces with vanishing Gaussian curvature. also study the cones in $${\mathbb {R}}^{3}$$ and give a classification. As an application, we show that for embedding $$f:{\mathbb {R}}^{2} \rightarrow {\mathbb , if its corresponding curvature is nonnegative image of Gauss map lies $$\big \{\theta \in {S}}^{2}: d_{{\mathbb {S}}^{2}}(\theta ...