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Erratum

100%

Redaktor

Mathematica Applicanda

1990

tom 18

nr 32

It has been pointed out to the editors that the paper mentioned in the heading has errors that affect the results of the paper.

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

51%

Yamaod O., Sintunavarat W., Je Cho Y.

Open Mathematics

2016

tom 14

nr 1

128-145

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 consequences of our main results. As applications, we applying our result to prove the existence of a common solution for the following system of integral equations: x (t) = ∫ a b K 1 (t,r,x(r)) dr, x (t) = ∫ a b K 2 (t,r,x(r)) dr, $$\matrix {x (t) = \int \limits_a^b {{K_1}} (t, r, x(r))dr, & & x(t) = \int \limits_a^b {{K_2}}(t, r, x(r))dr,} $$ where a, b ∈ ℝ with a < b, x ∈ C[a, b] (the set of continuous real functions defined on [a, b] ⊆ ℝ) and K1, K2 : [a, b] × [a, b] × ℝ → ℝ are given mappings. Finally, an example is also given in order to illustrate the effectiveness of such result.

Ograniczanie wyników

1 Mathematica Applicanda

1 Open Mathematics

1 Je Cho Y.

1 Redaktor

1 Sintunavarat W.

1 Yamaod O.

1 2016

1 1990

Wyniki wyszukiwania

Erratum

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