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Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ -Contraction in b -Metric Spaces

Author

Listed:
  • Naeem Saleem

    (Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan)

  • Jelena Vujaković

    (Faculty of Sciences and Mathematics, University of Priština, Lole Ribara 29, 38220 Kosovska Mitrovica, Serbia)

  • Wali Ullah Baloch

    (Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan)

  • Stojan Radenović

    (Nonlinear Analysis research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
    Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam)

Abstract

In this paper, we introduce the concept of coincidence best proximity point for multivalued Suzuki-type α -admissible mapping using θ -contraction in b -metric space. Some examples are presented here to understand the use of the main results and to support the results proved herein. The obtained results extend and generalize various existing results in literature.

Suggested Citation

  • Naeem Saleem & Jelena Vujaković & Wali Ullah Baloch & Stojan Radenović, 2019. "Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ -Contraction in b -Metric Spaces," Mathematics, MDPI, vol. 7(11), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1017-:d:280477
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    References listed on IDEAS

    as
    1. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 151(2), pages 418-424, November.
    2. A. Abkar & M. Gabeleh, 2011. "Best Proximity Points for Cyclic Mappings in Ordered Metric Spaces," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 188-193, July.
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