Altering Distances and a Common Fixed Point Theorem in Menger Probabilistic Metric Spaces

作者：Jesic Sinisa N^*; Cirovic Natasa A; O'Regan Donal

来源：Filomat, 2017, 31(2): 175-181.

DOI：10.2298/FIL1702175J

• Probabilistic Menger spaces
• Common fixed point
• Compatible mappings
• Phi-function

This paper presents a common fixed point theorem for two compatible self-mappings satisfying nonlinear contractive type condition defined using a Phi-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379-1386, and the result due to D. Mihet,, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734-2738.

• 出版日期2017