论文信息 - Nonlinear generalized contractions on Menger PM spaces

Nonlinear generalized contractions on Menger PM spaces

This paper presents a fixed point theorem for a self-mapping defined on probabilistic Menger spaces satisfying nonlinear generalized contractive type conditions. The theorem is an improvement of a result presented by B.S. Choudhury, K. Das: A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008), 1379{1386. This is illustrated with an example.

A Natasa Babacev | A. N. Babacev

[1] Binayak S. Choudhury,et al. A new contraction principle in menger spaces , 2008 .

[2] K. Menger. Statistical Metrics. , 1942, Proceedings of the National Academy of Sciences of the United States of America.

[3] Salvatore Sessa,et al. Fixed point theorems by altering distances between the points , 1984, Bulletin of the Australian Mathematical Society.

[4] Donal O'Regan,et al. Nonlinear contraction theorems in probabilistic spaces , 2008, Appl. Math. Comput..

[5] Ljiljana Gajic,et al. Pair of non-self-mappings and common fixed points , 2007, Appl. Math. Comput..

[6] Shishir Jain,et al. A fixed point theorem in Menger space through weak compatibility , 2005 .

[7] A. T. Bharucha-Reid,et al. Fixed point theorems in probabilistic analysis , 1976 .

[8] J. S. W. Wong,et al. On nonlinear contractions , 1969 .

[9] Dorel Miheţ,et al. Altering distances in probabilistic Menger spaces , 2009 .

[10] Donal O'Regan,et al. A common fixed point theorem for R-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions , 2008, Appl. Math. Comput..

[11] A. T. Bharucha-Reid,et al. Fixed points of contraction mappings on probabilistic metric spaces , 1972, Mathematical systems theory.

[12] Berthold Schweizer,et al. Probabilistic Metric Spaces , 2011 .