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

Rajendra Pant

doi:10.4995/agt.2018.7918

Authors

Rajendra Pant Visvesvaraya National Institute of Technology

DOI:

https://doi.org/10.4995/agt.2018.7918

Keywords:

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

Abstract

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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