Generalized distance and fixed point theorems in partially ordered probabilistic metric spaces

Authors

  • Reza Saadati Department of Mathematics, Science and Research Branch, Islamic Azad University, Post Code 14778, Ashrafi Esfahani Ave,Tehran, I.R. Iran Author

Keywords:

Non-decreasing mapping, coincidence, fixed point, common fixed point, complete metric space, generalized distance

Subjects:

54H25, 47H10

Abstract

Recently, Ćirić, Mihe\c{t} and Saadati [Topoplogy Appl. 156 (2009), 2838�-2844] proved a common fixed point theoremin partially ordered probabilistic metric spaces. In this paper, we consider the generalized distance inprobabilistic metric spaces introduced by Saadati, et. al., [Bull. Iranian Math. Soc. 35:2 (2009), 97–117] and prove some fixedpoint theorems in partially ordered probabilistic metric spaces.

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Published

2013-01-15