STUDY ON EXISTENCE THEORY FOR INTEGRAL EQUATIONS OF MIXED TYPE

Authors

  • G. A. Afrouzi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
  • S. Yousefi Department of Mathematics, Shahid Beheshti University , Tehran, Iran
  • R.A. Talarposhti Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Keywords:

Measure of weak noncompactness, Nonlinear mixed integral equation, Darbo’s theorem, Banach algebra

Abstract

This article presents an existence of monotonic solution for the nonlinear mixed Volterra-Fredholm integral equation acting on $L_1[0, 1]$. By using the techniques of the De Blasi measure of weak noncompactness, we employ the basic fixed point theorems such as Darbo s theorem to obtain the mentioned aims in Banach spaces.

Additional Files

Published

12/21/2011

How to Cite

Afrouzi, G. A. ., Yousefi, S., & Talarposhti, R. . (2011). STUDY ON EXISTENCE THEORY FOR INTEGRAL EQUATIONS OF MIXED TYPE. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 2(2), 363–366. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2644

Issue

Vol. 2 No. 2 (2011): JNAO

Section

Research Articles

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Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.