Results 21 to 30 of about 196,053,663 (109)
On behaviour of Darbo fixed point theorem under function sequences [PDF]
, 2019 A lot of work has been done on fixed point studies using function classes. In this work, the existence of fixed point is investigated by taking function sequences instead of function classes.
Sekman, Derya +2 more
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UNIQUE FIXED POINT THEOREMS FOR CONTRACTIVE MAPS TYPE IN T 0 -QUASI-METRIC SPACES [PDF]
, 2014 In [2], Agyingi proved that every generalized contractive mapping defined in a q-spherically complete T 0 -ultra-quasi-metric space has a unique fixed point.
Yae ́ Ulrich Gaba
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Global Asymptotic Stability for Nonlinear Functional Integral Equation of Mixed Type
Journal of Applied Mathematics, 2013 The existence results of global asymptotic stability of the solution are proved for functional integral equation of mixed type. The measure of noncompactness and the fixed-point theorem of Darbo are the main tools in carrying out our proof.
Zhinan Xia
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
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The Existence and Attractivity of Solutions of an Urysohn Integral Equation on an Unbounded Interval
Abstract and Applied Analysis, 2013 We prove a result on the existence and uniform attractivity of solutions of an Urysohn integral equation. Our considerations are conducted in the Banach space consisting of real functions which are bounded and continuous on the nonnegative real half axis.
Mohamed Abdalla Darwish +2 more
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Solvability of Nonlinear Integral Equations of Volterra Type
Abstract and Applied Analysis, 2012 This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral
Zeqing Liu, Sunhong Lee, Shin Min Kang
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Solvability of an infinite system of nonlinear integral equations of Volterra-Hammerstein type
Advances in Nonlinear Analysis, 2019 The purpose of the paper is to study the solvability of an infinite system of integral equations of Volterra-Hammerstein type on an unbounded interval. We show that such a system of integral equations has at least one solution in the space of functions ...
Chlebowicz Agnieszka
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Electronic Journal of Qualitative Theory of Differential Equations, 2018 The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
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Solvability of an infinite system of integral equations on the real half-axis
Advances in Nonlinear Analysis, 2020 The aim of the paper is to investigate the solvability of an infinite system of nonlinear integral equations on the real half-axis. The considerations will be located in the space of function sequences which are bounded at every point of the half-axis ...
Banaś Józef, Woś Weronika
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A New Type of Darbo's Fixed Point Theorem Defined by The Sequences of Functions
, 2018 In this paper, we introduce a new type of Darbo's fixed point theorem by using concept of function sequences with shifting distance property. Afterward, we investigate existence of fixed point under this the theorem.
Karakaya, Vatan +2 more
openaire +2 more sources