Geodesic
On solvability of infinite system of integral equations of Volterra together with Hammerstein type in the Fréchet spaces
Filomat, Tome 35 (2021) no. 6, p. 2055

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In this paper, we prove some fixed point theorems associated with Tychonoff fixed point theorem and measure of noncompactness in the Fréchet spaces. Moreover, as an application of our results, we analyze the existence of solutions for infinite system of integral equations of Volterra together with Hammerstein type. Finally, we present an example to illustrate the effectiveness of our results.
DOI : 10.2298/FIL2106055B
Classification : 47H08, 47H10
Keywords: Measure of noncompactness, Fixed point theorem, Integral equations, Fréchet space 
Shahram Banaei. On solvability of infinite system of integral equations of Volterra together with Hammerstein type in the Fréchet spaces. Filomat, Tome 35 (2021) no. 6, p. 2055 . doi: 10.2298/FIL2106055B
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     title = {On solvability of infinite system of integral equations of {Volterra} together with {Hammerstein} type in the {Fr\'echet} spaces},
     journal = {Filomat},
     pages = {2055 },
     year = {2021},
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     doi = {10.2298/FIL2106055B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2106055B/}
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