Results 51 to 60 of about 3,220,405 (234)
Approximate Equilibrium Problems and Fixed Points [PDF]
We find a common element of the set of fixed points of a map and the set of solutions of an approximate equilibrium problem in a Hilbert space. Then, we show that one of the sequences weakly converges. Also we obtain some theorems about equilibrium problems and fixed points.
Hamid Mazaheri +1 more
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We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution.
Ishak Altun +4 more
doaj +1 more source
Fixed point approach for complementarity problems
The author proposes a change of variables leading to a fixed point formulation of a nonlinear complementary problem. This is useful in the description of general integral methods for solving such solving such problems. Sufficient conditions for the convergence of the iterations are given.
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In this paper, we study a fixed point problem for certain rational contractions on γ-complete metric spaces. Uniqueness of the fixed point is obtained under additional conditions. The Ulam–Hyers–Rassias stability of the problem is investigated.
Binayak S. Choudhury +3 more
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On split equality fixed-point problems
In this present work, we study new algorithms to solve the split equality fixed-point problems for total quasi-asymptotically nonexpansive mappings in Hilbert spaces. In addition, we have established the convergence criteria for the proposed algorithms, at the end, we provided numerical results that justified our theoretical results.
Mohammed, L. B. +2 more
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Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
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
core +1 more source
The Split Equality Fixed-Point Problem and Its Applications
It 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
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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition [PDF]
For \(\alpha\in(1,2]\), the singular fractional boundary value problem \[D^{\alpha}_{0^+}x+f\left(t,x,D^{\mu}_{0^+}x\right)=0,\quad 0\lt t\lt 1,\] satisfying the boundary conditions \(x(0)=D^{\beta}_{0^+}x(1)=0\), where \(\beta\in(0,\alpha-1]\), \(\mu\in(
Jeffrey W. Lyons, Jeffrey T. Neugebauer
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A short course on positive solutions of systems of ODEs via fixed point index [PDF]
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
This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems.
Yasir Arfat +4 more
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