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Chauhan H. V. S., Singh B., Tunç C., Tunç O.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, vol.116, no.3, 2022 (SCI-Expanded)
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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
Integral equations, Measure of non-compactness (MNC), Petryshyn fixed point theorem (PFPT), SOLVABILITY, BOUNDEDNESS
Van Yüzüncü Yıl University Affiliated:
In this work, we examine the solvability of non-linear 2D Volterra integral equations through Petryshyn fixed point theorem in Banach space C([0, c] x [0, d]). Our work covers many previous results that occur in non-linear analysis and some real-world problems under some weaker conditions. The efficiency of our work is presented by some examples.