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Our analysis relies on the Mönch's fixed-point theorem combined with the technique of measures of weak noncompactness.
As the main tool, we apply a Krasnosel'skii type fixed point theorem in conjunction with the technique of measures of weak noncompactness in Banach spaces.
They obtained the existence of solution by means of the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.
In Section 4, we prove the existence of locally integrable solutions for (1.2) by virtue of our fixed point theorems and a family of measures of weak noncompactness.
They obtained the uniqueness of positive solution by means of the Mönch fixed point theorem combined with the technique of measures of weak noncompactness.
Our main assumptions about the functions being involved in the equation are the Carathéodory conditions, and the main tool is a Krasnosel'skii type fixed point theorem in conjunction with the technique of measures of weak noncompactness.
Similar(44)
Our main tool is the measure of weak noncompactness.
By the definition of measure of weak noncompact we know that is nonempty.
In 1977, De Blasi [4] introduced the concept of measure of weak noncompactness.
Their analysis uses the concept of the Blasi measure of weak noncompactness.
by used of the measure of weak noncompactness and Pettis integrals.
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