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Common Fixed Point Results of ( α − ψ , φ )-Contractions for a Pair of Mappings and Applications

Author

Listed:
  • Nawab Hussain

    (Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia)

  • Stojan Radenovi’c

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 2455 Riyadh, Saudi Arabia
    Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, P.O. Box 1120 Beograd 35, Serbia)

  • Kastriot Zoto

    (Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra 6001, Albania)

Abstract

In this paper, we prove some fixed point theorems in a b -metric-like space setting using a new class of admissible mappings and types of α − k and ( ψ , ϕ )-contractive conditions. Our results are supported by the application of finding solutions of integral equations and generalizing some well-known results of the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:10:p:182-:d:172667
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    References listed on IDEAS

    as
    1. 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.
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