Common fuzzy fixed point theorems in ordered metric spaces

Authors:
L. Irić;M. Abbas;B. Damjanović;R. Saadati
Affiliations:
Faculty of Mechanical Engineering, Kraljice Marije 16, 11 000 Belgrade, Serbia;Department of Mathematics, Lahore University of Management Sciences, Lahore - 54792, Pakistan;Department of Mathematics, Faculty of Agriculture, Nemanjina 6, 11 000 Belgrade, Serbia;Department of Mathematics, Science & Research Branch, Islamic Azad University, Post Code 14778, Ashrafi Esfahani Ave, Tehran, Islamic Republic of Iran
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

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Abstract

We prove the existence of fuzzy common fixed point of two mappings satisfying a generalized contractive condition in complete ordered spaces. Our results provide extension as well as substantial improvements of several well-known results in the existing literature and initiate the study of fuzzy fixed point theorems in ordered spaces.