J-type Mappings and Fixed Point Theorems in Menger Spaces

Volume 8, Issue 3, pp 245-250 http://dx.doi.org/10.22436/jmcs.08.03.07

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Authors

E. Feizi - Faculty of Science, Mathematics Department, Bu-Ali Sina University, Hamedan, Iran. Z. Hosseini - Faculty of Science, Mathematics Department, Bu-Ali Sina University, Hamedan, Iran.

Abstract

J. Garcia-Falset, E. Llorens-Fuster and S. Prus in [2] studied the existence of fixed point of J-type mappings in Banach spaces. In this paper, we extend these mappings in Menger spaces and prove the fixed point theorems of these mappings in complete Menger spaces. In this paper, we also prove theorems for the new class of mappings which is called altering J-type.

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Keywords

• Fixed point
• Menger space
• J-type mapping
• Altering J-type mapping.

MSC

•  47H10
•  54H25

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