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

Rajendra Pant

doi:10.4995/agt.2018.7918

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

Rajendra Pant

Visvesvaraya National Institute of Technology

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

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 well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458–464]. Also we discuss an application to iterated function systems.

Original language	English
Pages (from-to)	163-172
Number of pages	10
Journal	Applied General Topology
Volume	19
Issue number	1
DOIs	https://doi.org/10.4995/agt.2018.7918
Publication status	Published - 2018
Externally published	Yes

Keywords

Fractals
Iterated function systems
Self-similarity
Suzuki type contraction

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2018.7918

Cite this

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AB - 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 well-known Boyd and Wong theorem [On nonlinear contractions, Proc. Amer. Math. Soc. 20(1969), 458–464]. Also we discuss an application to iterated function systems.

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KW - Self-similarity

KW - Suzuki type contraction

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

Abstract

Keywords

ASJC Scopus subject areas

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