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Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations

Author

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  • H. M. Srivastava
  • Sachin V. Bedre
  • S. M. Khairnar
  • B. S. Desale

Abstract

Some hybrid fixed point theorems of Krasnosel’skii type, which involve product of two operators, are proved in partially ordered normed linear spaces. These hybrid fixed point theorems are then applied to fractional integral equations for proving the existence of solutions under certain monotonicity conditions blending with the existence of the upper or lower solution.

Suggested Citation

  • H. M. Srivastava & Sachin V. Bedre & S. M. Khairnar & B. S. Desale, 2014. "Krasnosel’skii Type Hybrid Fixed Point Theorems and Their Applications to Fractional Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:710746
    DOI: 10.1155/2014/710746
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    Cited by:

    1. Hazarika, Bipan & Srivastava, H.M. & Arab, Reza & Rabbani, Mohsen, 2019. "Application of simulation function and measure of noncompactness for solvability of nonlinear functional integral equations and introduction to an iteration algorithm to find solution," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 131-146.

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