Abstract
In this paper, we discuss some topological properties of graphical metric spaces and introduce the G-set metric with respect to a graphical metric. Some fixed point results are introduced which generalize the famous Nadler’s fixed point theorem.
Communicated by Ľubica Holá
Acknowledgement
The authors are thankful to the Editor and Reviewer for their crucial suggestions on this paper. The first author is thankful to Professor Mahesh Kumar Dube for continuous motivation and encouragement for research. The second author would like to thank the South African National Research Foundation for partial financial support under grant 118517.
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