A New Approach to Study Fixed Point of Multivalued Mappings in Modular Metric Spaces and Applications

نویسندگان

  • Dilip Jain
  • Anantachai Padcharoen
  • Poom Kumam
  • Dhananjay Gopal
چکیده

The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and prove corresponding fixed point theorems in complete modular metric space with some specific assumption on the modular. Then we apply our results to establish the existence of solutions for a certain type of non-linear integral equations.

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تاریخ انتشار 2016