Solution of nonlinear integral equations via fixed point of generalized contractive condition

Authors

  • R. K. Verma Department of Mathematics, Govt. C.L.C. College Patan, Dist.-Durg(C.G.) 491111, India Author
  • H. K. Pathak School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G) 492010, India Author

Keywords:

Common fixed point, generalized contractive condition, nonlinear integral equation, weakly compatible mappings

Subjects:

47H10, 54H25

Abstract

The main aim of our paper is to prove the existence of a solutionof a system of simultaneous Voltera-Hammerstein nonlinear integralequations by the help of a common fixed point theorem satisfying ageneralized contractive condition. For, we have used a commonfixed point result of generalized contractive condition in acomplete metric space for two pairs of weakly compatible mappings.

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Published

2012-07-15

Issue

Vol. 64 No. 3 (2012): Vol. 64, Issue 3

Section

Articles

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Copyright (c) 2012 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.