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Fixed Point Results for an Almost Generalized α‐Admissible Z‐Contraction in the Setting of Partially Ordered b‐Metric Spaces

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  • Solomon Gebregiorgis Teweldemedhin
  • Kidane Koyas Tola

Abstract

In this paper, we introduce an almost generalized α‐admissible Z‐contraction with the help of a simulation function and study fixed point results in the setting of partially ordered b‐metric spaces. The presented results generalize and unify several related fixed point results in the existing literature. Finally, we verify our results by using two examples. Moreover, one of our fixed point results is applied to guarantee the existence of a solution of an integral equation.

Suggested Citation

  • Solomon Gebregiorgis Teweldemedhin & Kidane Koyas Tola, 2021. "Fixed Point Results for an Almost Generalized α‐Admissible Z‐Contraction in the Setting of Partially Ordered b‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:5988007
    DOI: 10.1155/2021/5988007
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    References listed on IDEAS

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    1. Said Melliani & Abdelhamid Moussaoui & L. S. Chadli, 2020. "Admissible Almost Type - Contractions and Fixed Point Results," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-7, August.
    2. Youssef Errai & El Miloudi Marhrani & Mohamed Aamri, 2021. "Related Fixed Point Theorems in Partially Ordered b‐Metric Spaces and Applications to Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    3. Youssef Errai & El Miloudi Marhrani & Mohamed Aamri & Paul Eloe, 2021. "Related Fixed Point Theorems in Partially Ordered b-Metric Spaces and Applications to Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2021, pages 1-14, March.
    4. Kastriot Zoto & Nabil Mlaiki & Hassen Aydi & Alfred Peris, 2020. "Related Fixed Point Theorems via General Approach of Simulations Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-12, September.
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