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

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

doi:10.1016/j.camwa.2006.08.046

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

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

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

39 اقتباسات (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	961-971
عدد الصفحات	11
دورية	Computers and Mathematics with Applications
مستوى الصوت	53
رقم الإصدار	6
المعرِّفات الرقمية للأشياء	https://doi.org/10.1016/j.camwa.2006.08.046
حالة النشر	Published - مارس 2007

ASJC Scopus subject areas

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10.1016/j.camwa.2006.08.046

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قم بذكر هذا

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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",

note = "Funding Information: The first author is partially supported by UGC New Delhi (MRP-2005) and the work of the third author is supported by UGC, Bhopal F No 4S- 15/2004-05(MRP/CRO)/202008, India. The authors wish to express their sincere thanks to the referees for their valuable comments.",

year = "2007",

month = mar,

doi = "10.1016/j.camwa.2006.08.046",

language = "English",

volume = "53",

pages = "961--971",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

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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

N1 - Funding Information: The first author is partially supported by UGC New Delhi (MRP-2005) and the work of the third author is supported by UGC, Bhopal F No 4S- 15/2004-05(MRP/CRO)/202008, India. The authors wish to express their sincere thanks to the referees for their valuable comments.

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

AN - SCOPUS:34248396015

SN - 0898-1221

VL - 53

SP - 961

EP - 971

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 6

ER -

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

ملخص

ASJC Scopus subject areas

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