Common Fixed Point Results for Generalized Wardowski Type Contractive Multi-Valued Mappings

Hüseyin Işık, Vahid Parvaneh, Babak Mohammadi and Ishak Altun
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Hüseyin Işık: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 700000, Vietnam
Vahid Parvaneh: Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
Babak Mohammadi: Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran
Ishak Altun: Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Kirikkale 71450, Turkey

Mathematics, 2019, vol. 7, issue 11, 1-12

Abstract: In this paper, we introduce generalized Wardowski type quasi-contractions called α - ( φ , Ω ) -contractions for a pair of multi-valued mappings and prove the existence of the common fixed point for such mappings. An illustrative example and an application are given to show the usability of our results.

Keywords: common fixed point; ?-contraction; ? -admissible; multi-valued mapping; integral inclusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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