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

Applied General Topology

Rajendra Pant¹ 

[1] Visvesvaraya National Institute of Technology

关键词: Suzuki type contraction;    self-similarity;    iterated function systems;    fractals;   

DOI  :  10.4995/agt.2018.7918

学科分类：几何与拓扑

来源: Open Journal Systems

【 摘 要 】

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.

【 授权许可】

CC BY-NC-ND