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

Thesis Info

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External Link

Author

Jamshaid Ahmad

Supervisor

Akbar Azam

Program

PhD

Institute

COMSATS University Islamabad

City

Islamabad

Province

Islamabad.

Country

Pakistan

Thesis Completing Year

2015

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/handle/123456789/785

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726636638

Similar


Metric Fixed Point Theorems for Single-valued and Multi-valued Mappings 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 α*- Mizoguchi-Takahashi type contraction, generalized Mizoguchi-Takahashi G contraction and α-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.
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