Fixed point theorems for nonlinear contractions with applications to iterated function systems


  • Rajendra Pant Visvesvaraya National Institute of Technology



Suzuki type contraction, self-similarity, iterated function systems, fractals


We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969)]. Also we discuss an  application to  iterated function systems.


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Author Biography

Rajendra Pant, Visvesvaraya National Institute of Technology

Department of Mathematics


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How to Cite

R. Pant, “Fixed point theorems for nonlinear contractions with applications to iterated function systems”, Appl. Gen. Topol., vol. 19, no. 1, pp. 163–172, Apr. 2018.



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