# 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 language English 961-971 11 Computers and Mathematics with Applications 53 6 https://doi.org/10.1016/j.camwa.2006.08.046 Published - 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

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