Van Hien Pham, On a generalization of Petryshyn’s fixed point theorem, Vol. 2025 (2025), No. 30, pp. 1-8

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DOI: 10.23952/jnfa.2025.30

Received July 7, 2025; Accepted September 29, 2025; Published October 19, 2025

 

Abstract. The Petryshyn’s fixed point theorem is applied for the condensing maps with respect to Kuratowski measure of noncompactness satisfying a boundary condition. This paper extends this theorem by using a new boundary condition and the measure of noncompactness defined by the system of axioms.

 

How to Cite this Article:
V.H. Pham, On a generalization of Petryshyn’s fixed point theorem, J. Nonlinear Funct. Anal. 2025 (2025) 30.