WebJun 1, 2024 · It is well known that fixed point theory is a very important tool for solving problems in Nonlinear Functional Analysis and as well as to various theoretical and applied fields such as... WebNon-linear eigenvalue problems arising from growth maximization of ... Nussbaum, Convergence of iterates of a nonlinear operator arising in statistical mechanics. …

Two positive fixed points of nonlinear operator on …

WebThe objective of the research article is two-fold. Firstly, we present a fixed point result in the context of triple controlled metric type spaces with a distinctive contractive condition involving the controlled functions. Secondly, we consider an initial value problem associated with a nonlinear Volterra–Fredholm integro-dynamic equation and examine the … WebMoreover we reduce certain general results for the continuous operators acting on Banach spaces, and investigate their image. Here we also consider the existence of a fixed … port angeles washington ssa office

Regularized and inertial algorithms for common fixed …

WebNov 18, 2024 · The idea of fixed points and stability can be extended to higher-order systems of odes. Here, we consider a two-dimensional system and will need to make use of the two-dimensional Taylor series expansion of a function F(x, y) about the origin. In general, the Taylor series of F(x, y) is given by F(x, y) = F + x∂F ∂x + y∂F ∂y + 1 2(x2∂ ... WebAug 1, 2001 · Three positive fixed points of nonlinear operators on ordered banach spaces. We generalize the fixed-point theorem of Leggett-Williams, which is a theorem giving … WebJun 11, 2024 · Let \((X, \left\langle \cdot \right\rangle )\) be a Hilbert space and \(T:X\rightarrow X\) be a decreasing operator. Under a metric condition involving the convex combination of x and T(x), we will prove some fixed point theorems which generalize and complement several results in the theory of nonlinear operators.Our results are closely … port angeles washington tide table