The Journal of the Indian Mathematical Society

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Fixed Point Theorems and Dynamics of Functions


Affiliations
1 Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, Uttaranchal, India
     

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In the present paper we obtain a common fixed point theorem under a new contractive condition which is independent of the known contractive definitions. In the second fixed point theorem we study the dynamics of a class of functions induced by real numbers and then apply the result to obtain general tests for divisibility of numbers.
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  • Fixed Point Theorems and Dynamics of Functions

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Authors

R. P. Pant
Department of Mathematics, Kumaon University, D.S.B. Campus, Nainital-263002, Uttaranchal, India

Abstract


In the present paper we obtain a common fixed point theorem under a new contractive condition which is independent of the known contractive definitions. In the second fixed point theorem we study the dynamics of a class of functions induced by real numbers and then apply the result to obtain general tests for divisibility of numbers.