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Generalized 𠜶 - ð Contractive Type Mappings and Related Fixed Point Theorems with Applications

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  • 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 𠜶 - ð Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, September.
    • Handle: RePEc:hin:jnlaaa:793486
    DOI: 10.1155/2012/793486
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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. Choudhury, Binayak S. & Metiya, Nikhilesh & Kundu, Sunirmal, 2020. "Existence, data-dependence and stability of coupled fixed point sets of some multivalued operators," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    3. Badr Alqahtani & Andreea Fulga & Erdal Karapınar, 2018. "Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability," Mathematics, MDPI, vol. 6(10), pages 1-19, October.
    4. Erdal Karapınar & Cristian Chifu, 2020. "Results in wt -Distance over b -Metric Spaces," Mathematics, MDPI, vol. 8(2), pages 1-10, February.
    5. Erdal Karapınar & Andreea Fulga & Maliha Rashid & Lariab Shahid & Hassen Aydi, 2019. "Large Contractions on Quasi-Metric Spaces with an Application to Nonlinear Fractional Differential Equations," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    6. Nawab Hussain & Stojan Radenovi’c & Kastriot Zoto, 2018. "Common Fixed Point Results of ( α − ψ , φ )-Contractions for a Pair of Mappings and Applications," Mathematics, MDPI, vol. 6(10), pages 1-17, September.
    7. Hassen Aydi & Erdal Karapinar & Antonio Francisco Roldán López de Hierro, 2019. "ω -Interpolative Ćirić-Reich-Rus-Type Contractions," Mathematics, MDPI, vol. 7(1), pages 1-8, January.

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