A common fixed point theorem for R-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions

Siniša N. Ješić; Donal O'Regan; Nataša A. Babačev

doi:10.1016/j.amc.2007.12.020

A common fixed point theorem for R-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions

Siniša N. Ješić, Donal O'Regan, Nataša A. Babačev

Mathematics

Faculty of Electrical Engineering

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

13 Citations (Scopus)

Abstract

This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O'Regan and Saadati [D. O'Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 (2008) 86-93]. Also, the following results will be probabilistic versions and improvements of the results given in [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458-464; G. Jungck, Commuting maps and fixed points, Am. Math. Month. 83 (1976) 261-263; R.P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994) 436-440] and many other.

Original language	English
Pages (from-to)	272-281
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	201
Issue number	1-2
DOIs	https://doi.org/10.1016/j.amc.2007.12.020
Publication status	Published - 15 Jul 2008

Keywords

Common fixed point
Nonlinear contractive conditions
Probabilistic metric spaces
R-weakly commuting mappings

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Jesic, SN;O'Regan, D;Babacev, NA

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10.1016/j.amc.2007.12.020

Cite this

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abstract = "This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O'Regan and Saadati [D. O'Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 (2008) 86-93]. Also, the following results will be probabilistic versions and improvements of the results given in [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458-464; G. Jungck, Commuting maps and fixed points, Am. Math. Month. 83 (1976) 261-263; R.P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994) 436-440] and many other.",

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AU - Ješić, Siniša N.

AU - O'Regan, Donal

AU - Babačev, Nataša A.

PY - 2008/7/15

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N2 - This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O'Regan and Saadati [D. O'Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 (2008) 86-93]. Also, the following results will be probabilistic versions and improvements of the results given in [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458-464; G. Jungck, Commuting maps and fixed points, Am. Math. Month. 83 (1976) 261-263; R.P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994) 436-440] and many other.

AB - This paper presents a common fixed point theorem for a family of R-weakly commuting mappings satisfying nonlinear type contractive conditions. This result improves and unifies previous results due to O'Regan and Saadati [D. O'Regan, R. Saadati, Nonlinear contraction theorems in probabilistic spaces, Appl. Math. Comput. 195 (2008) 86-93]. Also, the following results will be probabilistic versions and improvements of the results given in [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458-464; G. Jungck, Commuting maps and fixed points, Am. Math. Month. 83 (1976) 261-263; R.P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl. 188 (1994) 436-440] and many other.

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KW - R-weakly commuting mappings

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ER -

A common fixed point theorem for R-weakly commuting mappings in probabilistic spaces with nonlinear contractive conditions

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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