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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, Hindawi, vol. 2012, pages 1-15, July.
    • Handle: RePEc:hin:jnlaaa:245872
    DOI: 10.1155/2012/245872
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    Citations

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    Cited by:

    1. Yeol Je Cho & Shin Min Kang & Peyman Salimi, 2018. "Some PPF Dependent Fixed Point Theorems for Generalized α - F -Contractions in Banach Spaces and Applications," Mathematics, MDPI, vol. 6(11), pages 1-19, November.
    2. Hasanen A. Hammad & Manuel De la Sen, 2019. "PPF-Dependent Fixed Point Results for New Multi-Valued Generalized F -Contraction in the Razumikhin Class with an Application," Mathematics, MDPI, vol. 7(1), pages 1-16, January.
    3. Hasanen Abuelmagd Hammad & Manuel De la Sen, 2019. "A Coupled Fixed Point Technique for Solving Coupled Systems of Functional and Nonlinear Integral Equations," Mathematics, MDPI, vol. 7(7), pages 1-18, July.
    4. Hussain, Nawab & Kutbi, M.A. & Salimi, Peyman, 2020. "Global optimal solutions for proximal fuzzy contractions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    5. Shamoona Jabeen & Zhiming Zheng & Mutti-Ur Rehman & Wei Wei & Jehad Alzabut, 2021. "Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations," Mathematics, MDPI, vol. 9(5), pages 1-14, March.
    6. Deepmala, 2014. "Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-9, April.
    7. Angamuthu Muraliraj & Ravichandran Thangathamizh & Nikola Popovic & Ana Savic & Stojan Radenovic, 2023. "The First Rational Type Revised Fuzzy-Contractions in Revised Fuzzy Metric Spaces with an Applications," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    8. Mohadeshe Paknazar & Manuel De la Sen, 2017. "Best Proximity Point Results in Non-Archimedean Modular Metric Space," Mathematics, MDPI, vol. 5(2), pages 1-20, April.
    9. Hamed H Al-Sulami & Jamshaid Ahmad & Nawab Hussain & Abdul Latif, 2019. "Solutions to Fredholm Integral Inclusions via Generalized Fuzzy Contractions," Mathematics, MDPI, vol. 7(9), pages 1-19, September.
    10. Hasanen A. Hammad & Amal A. Khalil, 2020. "The Technique of Quadruple Fixed Points for Solving Functional Integral Equations under a Measure of Noncompactness," Mathematics, MDPI, vol. 8(12), pages 1-21, November.

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