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

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

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 c...

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Bibliographic Details
Main Authors: Dilip Jain, Anantachai Padcharoen, Poom Kumam, Dhananjay Gopal
Format: Article
Language:English
Published: MDPI AG 2016-08-01
Series:Mathematics
Subjects:
Keywords
fixed point
multivalued F-contractive
modular metric space
non-linear integral equations
Online Access:http://www.mdpi.com/2227-7390/4/3/51
Description
Summary: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.
ISSN:2227-7390

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