Common Fixed-Point Theorem for Expansive Mappings in Dualistic Partial Metric Spaces
Shiva Verma
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal-462016, Madhya Pradesh, India.
Rahul Gourh
Department of Mathematics, Govt LBS PG College, Sironj, Vidisha-464228, Madhya Pradesh, India.
Manoj Ughade *
Department of Mathematics, Institute for Excellence in Higher Education, Bhopal-462016, Madhya Pradesh, India.
Sheetal Yadav
Department of Mathematics, Mata Gujri Mahila Mahavidhyala (Auto), Jabalpur-482001, Madhya Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
O'Neill [1] introduces the concept of dualistic partial metric space. In this study, we prove some common fixed-point theorems for dualistic expanding mappings defined on a dualistic partial metric space. Some famous conclusions of [2] and [3] are extended and generalized by our result. Additionally, we offer an example that demonstrates the value of these dualistic expanding mappings.
Keywords: Common fixed point, dualistic partial metric, dualistic expanding mappings