Mathematical methods are extensively used in dealing with simulation and approximation problems related to computer science, engineering, physics, many others [...]

By using fixed point theorems in cones, the existence of multiple positive solutions is considered for nonlinear m-point boundary value problem for the following second-order boundary value problem on time scales φ uΔ ∇ a t f t, u t 0, t ∈ 0, T , φ uΔ 0 ∑m−2 i 1 aiφ uΔ ξi , u T ∑m−2 i 1 biu ξi , where φ : R → R is an increasing homeomorphism and homomorphism and φ 0 0. Some new results are obta...

in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnish suitable illustrative examples.in this manuscript, we prove some coupled fixed point theoremsfor two pairs of self mappings satisfying contractive conditions of integraltype in generalized metric spaces. we furnis...

We consider a Dirichlet problem driven by the anisotropic $(p,q)$-Laplacian and reaction with gradient dependence (convection). The presence of in source term excludes from consideration variational approach dealing qualitative analysis this unbalanced growth. Using frozen variable method eventually fixed point theorem, main result paper establishes that has positive smooth solution.

in the present paper‎, ‎we introduce the concept of generalized multivalued $f$ -‎contraction mappings and give a fixed point result‎, ‎which is a proper‎ ‎generalization of some multivalued fixed point theorems including nadler's‎.

in the present paper, we give a new approach to caristi's fixed pointtheorem on non-archimedean fuzzy metric spaces. for this we define anordinary metric $d$ using the non-archimedean fuzzy metric $m$ on a nonemptyset $x$ and we establish some relationship between $(x,d)$ and $(x,m,ast )$%. hence, we prove our result by considering the original caristi's fixedpoint theorem.

Drawing on recent machine learning work in dimensionality reduction, novel techniques for approximate conformal parameterization of point-set surfaces are introduced. An improved approximation of local tangent-spaces leads to a new method for computing Laplacian weights on point set neighbourhoods. These weights allow for linear minimization of the Dirichlet energy, and a robust one-parameter m...