A common fixed point theorem and its application to nonlinear integral equations

H. K. Pathak, M. S. Khan, Rakesh Tiwari

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

Original languageEnglish
Pages (from-to)961-971
Number of pages11
JournalComputers and Mathematics with Applications
Volume53
Issue number6
DOIs
Publication statusPublished - Mar 2007

Fingerprint

Nonlinear Integral Equation
Common Fixed Point
Integral equations
Fixed point theorem
Weakly Compatible Mappings
Existence of Solutions
Theorem

Keywords

  • Common fixed points
  • Compatible mappings of type (I) and (II)
  • Nonlinear integral equations
  • Weak compatible mappings

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Modelling and Simulation

Cite this

A common fixed point theorem and its application to nonlinear integral equations. / Pathak, H. K.; Khan, M. S.; Tiwari, Rakesh.

In: Computers and Mathematics with Applications, Vol. 53, No. 6, 03.2007, p. 961-971.

Research output: Contribution to journalArticle

@article{db495d8f47ef49488e6b91d8238a7329,
title = "A common fixed point theorem and its application to nonlinear integral equations",
abstract = "In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.",
keywords = "Common fixed points, Compatible mappings of type (I) and (II), Nonlinear integral equations, Weak compatible mappings",
author = "Pathak, {H. K.} and Khan, {M. S.} and Rakesh Tiwari",
year = "2007",
month = "3",
doi = "10.1016/j.camwa.2006.08.046",
language = "English",
volume = "53",
pages = "961--971",
journal = "Computers and Mathematics with Applications",
issn = "0898-1221",
publisher = "Elsevier Limited",
number = "6",

}

TY - JOUR

T1 - A common fixed point theorem and its application to nonlinear integral equations

AU - Pathak, H. K.

AU - Khan, M. S.

AU - Tiwari, Rakesh

PY - 2007/3

Y1 - 2007/3

N2 - In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

AB - In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

KW - Common fixed points

KW - Compatible mappings of type (I) and (II)

KW - Nonlinear integral equations

KW - Weak compatible mappings

UR - http://www.scopus.com/inward/record.url?scp=34248396015&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34248396015&partnerID=8YFLogxK

U2 - 10.1016/j.camwa.2006.08.046

DO - 10.1016/j.camwa.2006.08.046

M3 - Article

VL - 53

SP - 961

EP - 971

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

SN - 0898-1221

IS - 6

ER -