Fixed point theorems for generalized semi-quasi contractions

Rajendra Pant

doi:10.1007/s11784-016-0308-x

Fixed point theorems for generalized semi-quasi contractions

Rajendra Pant

Visvesvaraya National Institute of Technology

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

6 Citations (Scopus)

Abstract

In this note, we introduce the notion of a generalized semi-quasi contraction and obtain a fixed point theorem for such contraction. Our results extend and generalize some well-known fixed point theorems including Ćirić’s quasi contraction theorem. As an application of our main theorem the existence of a solution for a class of functional equations arising in dynamic programming is discussed. At the end an open problem is also posed.

Original language	English
Pages (from-to)	1581-1590
Number of pages	10
Journal	Journal of Fixed Point Theory and Applications
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s11784-016-0308-x
Publication status	Published - 1 Jun 2017
Externally published	Yes

Keywords

Fixed point
Suzuki contraction
generalized semi-quasi contraction
quasi-contraction

ASJC Scopus subject areas

Modeling and Simulation
Geometry and Topology
Applied Mathematics

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10.1007/s11784-016-0308-x

Cite this

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AB - In this note, we introduce the notion of a generalized semi-quasi contraction and obtain a fixed point theorem for such contraction. Our results extend and generalize some well-known fixed point theorems including Ćirić’s quasi contraction theorem. As an application of our main theorem the existence of a solution for a class of functional equations arising in dynamic programming is discussed. At the end an open problem is also posed.

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KW - Suzuki contraction

KW - generalized semi-quasi contraction

KW - quasi-contraction

UR - https://www.scopus.com/pages/publications/84988723858

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DO - 10.1007/s11784-016-0308-x

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JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

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ER -

Fixed point theorems for generalized semi-quasi contractions

Abstract

Keywords

ASJC Scopus subject areas

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