Results 61 to 70 of about 3,769,573 (257)
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
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The Split Equality Fixed-Point Problem and Its Applications
AxiomsIt is generally known that in order to solve the split equality fixed-point problem (SEFPP), it is necessary to compute the norm of bounded and linear operators, which is a challenging task in real life.
Lawan Bulama Mohammed, Adem Kilicman
doaj +1 more source
Advances in Difference Equations, 2021 For finding a common fixed point of a finite family of G-nonexpansive mappings, we implement a new parallel algorithm based on the Ishikawa iteration process with the inertial technique. We obtain the weak convergence theorem of this algorithm in Hilbert
Phakdi Charoensawan +3 more
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$\varphi $-fixed points of self-mappings on metric spaces with a geometric viewpoint [PDF]
arXiv, 2021 A recent open problem was stated on the geometric properties of $\varphi $-fixed points of self-mappings of a metric space in the non-unique fixed point cases. In this paper, we deal with the solutions of this open problem and present some solutions via the help of appropriate auxiliary numbers and geometric conditions.
arxiv
Fixed point approach for complementarity problems
Journal of Mathematical Analysis and Applications, 1988 AbstractIn this paper, we use the fixed point technique to suggest a new unified and general algorithm for computing the approximate solution of a nonlinear complementarity problem of finding u such that u ⩾ 0, Tu + A(u) ⩾ 0 (u, Tu + A(u)) = 0, where T is a continuous mappping from Rn into itself and A is a non-linear transformation from Rn into itself.
openaire +2 more sources
New fixed-circle results related to Fc-contractive and Fc-expanding mappings on metric spaces [PDF]
arXiv, 2021 The fixed-circle problem is a recent problem about the study of geometric properties of the fixed point set of a self-mapping on metric (resp. generalized metric) spaces. The fixed-disc problem occurs as a natural consequence of this problem. Our aim in this paper, is to investigate new classes of self-mappings which satisfy new specific type of ...
arxiv
A short course on positive solutions of systems of ODEs via fixed point index [PDF]
, 2017 We shall firstly study the existence of one positive solution of a model problem for one equation via the classical Krasnosel'ski\u\i{} fixed-point theorem.
Infante, Gennaro
core
Iterative Algorithms for the Split Problem and Its Convergence Analysis
Abstract and Applied Analysis, 2014 Now, it is known that the split common fixed point problem is a generalization of the split feasibility problem and of the convex feasibility problem. In this paper, the split common fixed point problem associated with the pseudocontractions is studied ...
Zhangsong Yao +3 more
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A short note on the paper "Remarks on Caristi's fixed point theorem and Kirk's problem" [PDF]
arXiv, 2010 In this paper, we demonstrate that Li's fixed point theorems are indeed equivalent with the primitive Caristi's fixed point theorem, Jachymski's fixed point theorems, Feng and Liu's fixed point theorems, Khamsi's fixed point theorems and others.
arxiv
Asymptotic Safety of Gravity Coupled to Matter
, 2003 Nonperturbative treatments of the UV limit of pure gravity suggest that it admits a stable fixed point with positive Newton's constant and cosmological constant.
A. Bonanno +28 more
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