Metric Fixed Point Theorems for Single-valued and Multi-valued Mappings

Jamshaid Ahmad, . (2015) Metric Fixed Point Theorems for Single-valued and Multi-valued Mappings. Doctoral thesis, COMSATS Institute of Information Technology Lahore Campus - Pakistan.

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Abstract

The main goal of the present research is to establish existence and uniqueness theorems regarding fixed points, coincidence points and common fixed points of single-valued and multi-valued mappings in connection with contractive type inequalities in complete metric spaces and generalized metric spaces. Some notions namely generalized ?*Mizoguchi-Takahashi type contraction, generalized Mizoguchi-Takahashi G contraction and ?-admissible mappings for cone metric space are also obtained. We also include an application in which we prove the existence and uniqueness of a solution for a general class of Fredholm integral equation of 2nd kind. To enhance the validity of this work some interesting examples are also furnished.

Item Type: Thesis (Doctoral)
Uncontrolled Keywords: Metric, Fixed Point, Mappings
Subjects: Q Science > QA Mathematics
Depositing User: Unnamed user with email jmemon@hec.gov.pk
Date Deposited: 25 Sep 2017 06:44
Last Modified: 25 Sep 2017 06:44
URI: http://eprints.hec.gov.pk/id/eprint/6390

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