Common Fixed Points of Kannan Type Fuzzy Mappings on closed balls
نویسندگان
چکیده
We establish some common fixed point theorems for Kannan fuzzy mappings on closed balls in a complete metric space. Our investigation is based on the fact that fuzzy fixed point results can be obtained simply from the fixed point theorem of multivalued mappings with closed values. In real world problems there are various mathematical models in which the mappings are contractive on the subset of a space under consideration but not on the whole space itself. It seems that this technique of finding the fuzzy fixed points was ignored. Recently Azam et. al. [A. Azam, S. Hussain and M. Arshad, Common Fixed points of Chatterjea Type Fuzzy Mappings on closed balls, Neural Computing & Applications, DOI 10. 1007/s00521-012-0907-4] published a fixed points result for Chatterjea fuzzy locally contractive mappings on closed ball and our present work will supplement it. Our results generalize/improve several results of literature.
منابع مشابه
Common Fixed Point of Fuzzy Mappings on Closed Balls
In this paper, we establish some common fixed point theorems for fuzzy mappings satisfying fuzzy contractive conditions which are general than Chatterjee type and Kannan type fuzzy contractive conditions on closed balls in a complete metric space. Our results generalize the corresponding results in the current literature. AMS (2000) subject classification: 45S40 • 47H10 • 54H25
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