Common Fixed Point Theorem For Rational Expressions In 2-Banach Spaces
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Abstract
The study of non-contraction mapping concerning the existence of fixed points draws attention of various authors in non-linear analysis. Gahlar [6] introduced the concept of 2- Banach spaces. Badshah and Gupta [3] , Yadava, Rajput, Choudhary and Bhardwaj [26] proved some results on fixed point in 2-Banach spaces. Recently Yadava,Rajput, Bhardwaj [25] proved a result on fixed point in 2- Banach spaces for non- contraction mappings. In this paper we prove some common fixed point theorems for non-contraction mappings in 2-Banach spaces, which contains new rational expressions.
2010 AMS Mathematics Subject Classification: 46B20, 46B25
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