General Ways of Constructing Accelerating Newton-like Iterations on Partially Ordered Topological Spaces
نویسنده
چکیده
In this study, we examine the monotone convergence of Newton-like methods to a solution of an equation on a partially ordered topological space setting. In particular we provide suucient conditions for the construction of accelerating sequences. This way the solution is obtained faster than in earlier results.
منابع مشابه
Weak Conditions for the Convergence of Iterations to Solutions of Equations on Partially Ordered Topological Spaces
We provide suucient conditions for the monotone convergence of New-ton like methods to solutions of nonlinear operator equations on partially ordered topological spaces. We assume conditions weaker than standard Lipschitz-like conditions to produce two iterations, one increasing and one decreasing, that enclose and converge to a solution of an equation. Finally examples are given to show that o...
متن کاملSome results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces
In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).
متن کاملTripled coincidence point under ϕ-contractions in ordered $G_b$-metric spaces
In this paper, tripled coincidence points of mappings satisfying $psi$-contractive conditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our results extend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples o...
متن کاملGeneralized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces
In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and coincidence point theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.
متن کاملGeneralized $F$-contractions in Partially Ordered Metric Spaces
We discuss about the generalized $F$-contraction mappings in partially ordered metric spaces. For this, we first introduce the notion of ordered weakly $F$-contraction mapping. We also present some fixed point results about this type of mapping in partially ordered metric spaces. Next, we introduce the notion of $acute{mathrm{C}}$iri$acute{mathrm{c}}$ type generalized ordered weakly $F$-contrac...
متن کامل