A study of a general system of operator equations in $${\varvec{}}$$-metric spaces via the vector approach in fixed point theory |
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| Authors: | Adrian Petruşel Gabriela Petruşel |
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| Institution: | 1.Faculty of Mathematics and Computer Science,Babe?-Bolyai University Cluj-Napoca,Cluj-Napoca,Romania;2.Academy of Romanian Scientists,Bucharest,Romania;3.Faculty of Business,Babe?-Bolyai University Cluj-Napoca,Cluj-Napoca,Romania |
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| Abstract: | In this paper, we will present some coupled fixed point theorems on a metric space endowed with two b-metrics. The approach is based on the application of a fixed point theorem for an appropriate operator on the Cartesian product of the given spaces. An application to a boundary value problem for a system of second order differential equations is also presented. |
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