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

5 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

Access to Document

10.1007/s11784-016-0308-x

Cite this

@article{ebb4efe6830b4ae8b3e41c783e102450,

title = "Fixed point theorems for generalized semi-quasi contractions",

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 {\'C}iri{\'c}{\textquoteright}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.",

keywords = "Fixed point, Suzuki contraction, generalized semi-quasi contraction, quasi-contraction",

author = "Rajendra Pant",

note = "Publisher Copyright: {\textcopyright} 2016, Springer International Publishing.",

year = "2017",

month = jun,

day = "1",

doi = "10.1007/s11784-016-0308-x",

language = "English",

volume = "19",

pages = "1581--1590",

journal = "Journal of Fixed Point Theory and Applications",

issn = "1661-7738",

publisher = "Springer Science + Business Media",

number = "2",

}

TY - JOUR

T1 - Fixed point theorems for generalized semi-quasi contractions

AU - Pant, Rajendra

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

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.

KW - Fixed point

KW - Suzuki contraction

KW - generalized semi-quasi contraction

KW - quasi-contraction

UR - http://www.scopus.com/inward/record.url?scp=84988723858&partnerID=8YFLogxK

U2 - 10.1007/s11784-016-0308-x

DO - 10.1007/s11784-016-0308-x

M3 - Article

AN - SCOPUS:84988723858

SN - 1661-7738

VL - 19

SP - 1581

EP - 1590

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

ER -

Fixed point theorems for generalized semi-quasi contractions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this