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Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

Author

Listed:
  • Ravi P. Agarwal
  • Nawab Hussain
  • Mohamed-Aziz Taoudi

Abstract

We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

Suggested Citation

  • Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:245872
    DOI: 10.1155/2012/245872
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    Cited by:

    1. N. Hussain & S. Khaleghizadeh & P. Salimi & F. Akbar, 2013. "New Fixed Point Results with PPF Dependence in Banach Spaces Endowed with a Graph," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. N. Hussain & S. Al-Mezel & P. Salimi, 2013. "Fixed Points for ψ‐Graphic Contractions with Application to Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Awad A. Bakery & OM Kalthum S. K. Mohamed, 2022. "Nonexpansive Mappings on New Premodular Special Space of Sequences," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    4. N. Hussain & M. A. Kutbi & S. Khaleghizadeh & P. Salimi, 2014. "Discussions on Recent Results for α‐ψ‐Contractive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. N. Hussain & M. A. Kutbi & P. Salimi, 2013. "Best Proximity Point Results for Modified α‐ψ‐Proximal Rational Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. N. Hussain & M. A. Kutbi & P. Salimi, 2014. "Fixed Point Theory in α‐Complete Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Basit Ali & Arshad Ali Khan & Azhar Hussain, 2022. "Best Proximity Points of Multivalued Hardy‐Roger’s Type (Cyclic) Contractive Mappings of b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    8. Mohamed M. A. Metwali & Manochehr Kazemi & Shami A. M. Alsallami, 2025. "On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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