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DOI: 10.23952/jnfa.2024.13
Received December 31, 2023; Accepted June 10, 2024; Published July 5, 2024
Abstract. This paper is concerned with the new generalized Darbo’s fixed point theorems (GDFT). A new version of the GDFT to a condensing maps with respect to a measure of noncompactness and control functions is proved. This new theorem generalizes some GDFT, which were recently proved in [R. Arab, H. K. Nashine, N. H. Can, T. T. Binh, Solvability of functional-integral equations (fractional order) using measure of noncompactness, Adv. Difference Equ. 2020 (2020) 12; A. Das, B. Hazarika, P. Kumam, Some new generalization of Darbo’s fixed point theorem and its application on integral equations, Mathematics 7 (2019) 214; N. Khodabakhshi, S. M. Vaezpour, Common fixed point theorems via measure of noncompactness, Fixed Point theory 17 (2016) 381-386].
How to Cite this Article:
V. H. Pham, A new general measure of noncompactness and fixed point theorem for condensing operators, J. Nonlinear Funct. Anal. 2024 (2024) 13.