On a pair of fuzzy φ-contractive mappings

Authors:
Akbar Azam;Muhammad Arshad;Pasquale Vetro
Affiliations:
Department of Mathematics, COMSATS Institute of Information Technology, Chak Shahzad, Islamabad, 44000, Pakistan;Department of Mathematics, International Islamic University, H-10, Islamabad, 44000, Pakistan;Universití degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 6
Cited 1

Fuzzy mappings and fixed point theorems

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A fixed point theorem for contractive-type fuzzy mappings

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Fixed point theorems for fuzzy mappings

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A common fixed point theorem for a pair of fuzzy mappings

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Fixed point theorems for fuzzy mappings

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Common fixed points of fuzzy maps

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Common fuzzy fixed point theorems in ordered metric spaces

Mathematical and Computer Modelling: An International Journal

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Abstract

We establish common fixed point theorems for fuzzy mappings under a @f-contraction condition on a metric space with the d"~-metric (induced by the Hausdorff metric) on the family of fuzzy sets. The study of fixed points of fuzzy set-valued mappings related to the d"~-metric is useful in geometric problems arising in high energy physics. Our results generalize some recent results.