Results 31 to 40 of about 1,936,165 (185)

Necessary and sufficient conditions for large contractions in fixed point theory

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
Many problems in integral and differential equations involve an equation in which there is almost a contraction mapping. Through some type of transformation we arrive at an operator of the form $H(x) =x-f(x)$. The paper contains two main parts.
Theodore Burton, Ioannis Purnaras
doaj   +1 more source

Fixed points and integral inclusions

open access: yesJournal of Numerical Analysis and Approximation Theory, 2006
The aim of this paper is to present, as applications of some fixed point theorems, existence results for integral equations and inclusions.
Adrian Petruşel
doaj   +2 more sources

The Fibonacci polynomials solution for Abel’s integral equation of second kind [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2020
We suggest a convenient method based on the Fibonacci polynomials and the collocation points for solving approximately the Abel’s integral equation of second kind.
H. Deilami Azodi
doaj   +1 more source

Log Fano varieties over function fields of curves [PDF]

open access: yes, 2007
Consider a smooth log Fano variety over the function field of a curve. Suppose that the boundary has positive normal bundle. Choose an integral model over the curve.
A. Grothendieck   +17 more
core   +2 more sources

Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

open access: yesOpen Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai   +2 more
doaj   +1 more source

Two Points Taylor’s Type Representations for Analytic Complex Functions with Integral Remainders

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper we establish some two point weighted Taylor’s expansions for analytic functions f : D ⊆ ℂ→ ℂ defined on a convex domain D. Some error bounds for these expansions are also provided.
Dragomir Silvestru Sever
doaj   +1 more source

Integral points on generic fibers

open access: yes, 2008
Let P(x,y) be a rational polynomial and k in Q be a generic value. If the curve (P(x,y)=k) is irreducible and admits an infinite number of points whose coordinates are integers then there exist algebraic automorphisms that send P(x,y) to the polynomial x
Bodin, Arnaud
core   +1 more source

Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications

open access: yesJournal of Function Spaces, 2021
In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces.
Haiyan Gao, Na Liu, Liangshi Zhao
doaj   +1 more source

Weak contractive integral inequalities and fixed points in modular metric spaces

open access: yesJournal of Inequalities and Applications, 2016
Branciari (Int. J. Math. Math. Sci. 29(9):531-536, 2002) gave an interesting supplement of Banach’s contraction principle for an integral-type inequality.
Nawab Hussain   +3 more
doaj   +1 more source

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