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Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications

Author

Listed:
  • Erdal Karapınar
  • Bessem Samet

Abstract

We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.

Suggested Citation

  • Erdal Karapınar & Bessem Samet, 2012. "Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:793486
    DOI: 10.1155/2012/793486
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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. Seong-Hoon Cho, 2015. "Fixed Point Theorems for Ćirić‐Berinde Type Contractive Multivalued Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    3. Maryam A. Alghamdi & Chi-Ming Chen & Erdal Karapınar, 2014. "The Generalized Weaker (α‐ϕ‐φ)‐Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam, 2013. "On Fixed Points of α‐ψ‐Contractive Multivalued Mappings in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Marwan Amin Kutbi & Wutiphol Sintunavarat, 2014. "Ulam‐Hyers Stability and Well‐Posedness of Fixed Point Problems for α‐λ‐Contraction Mapping in Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Marwan Amin Kutbi & Muhammad Arshad & Aftab Hussain, 2014. "ON Modified (α − η)‐Contractive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Gonca Durmaz & Gülhan Mınak & Ishak Altun, 2014. "Fixed Point Results for α‐ψ‐Contractive Mappings Including Almost Contractions and Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. 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).
    9. Ghadah Albeladi & Saleh Omran, 2025. "On Generalized (α‐ψ)‐Contraction With Rational Contraction Type on Generalized Metric Space Endowed With the Orthogonal Direct Sum," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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