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Some φ -Fixed Point Results for ( F , φ , α - ψ )-Contractive Type Mappings with Applications

Author

Listed:
  • Mohammad Imdad

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India)

  • Abdur Rauf Khan

    (Department of Applied Sciences, University Polytechnic, Aligarh Muslim University, Aligarh 202002, India)

  • Hayel N. Saleh

    (Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
    Department of Mathematics, Taiz University, Taiz 6803, Yemen)

  • Waleed M. Alfaqih

    (Department of Mathematics, Hajjah University, Hajjah 1729, Yemen)

Abstract

In this paper, we introduce the notions of ( F , φ , α - ψ )-contractions and ( F , φ , α - ψ )-weak contractions in metric spaces and utilize the same to prove some existence and uniqueness φ -fixed point results. Some illustrative examples are given to demonstrate the usefulness and effectiveness of our results. As applications, we deduce some fixed point theorems in partial metric spaces besides proving an existence result on the solution of nonlinear differential equations. Our results extend, generalize and improve some relevant results of the existing literature.

Suggested Citation

  • Mohammad Imdad & Abdur Rauf Khan & Hayel N. Saleh & Waleed M. Alfaqih, 2019. "Some φ -Fixed Point Results for ( F , φ , α - ψ )-Contractive Type Mappings with Applications," Mathematics, MDPI, vol. 7(2), pages 1-16, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:2:p:122-:d:200322
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