A common fixed point theorem and its application to nonlinear integral equations |
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Affiliation: | 1. School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur (C.G.), 492010, India;2. College of Science, Department of Mathematics and Statistics, Sultan Qaboos University, Al-Khod, Muscat, Oman;3. Department Of Mathematics, Govt.V.Y.T. Post Graduate Autonomous College, Durg (C.G.), 491001, India |
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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. |
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