Some fixed point results on Mb-cone metric space over Bannach algebra

Jerolina Fernandez; Santosh Kumar; Neeraj Malviya

doi:10.5269/bspm.77377

Jerolina Fernandez Department of Science, The Bhopal School of Social Sciences, Bhopal, M.P., India
Santosh Kumar University of Dar es Salaam, Tanzania
Neeraj Malviya Government College, Timarni, M.P., India

Abstract

In this paper, we introduce the notion of Mb-cone metric space over Banach algebra as a generalization of both M-cone metric space over Banach algebra and b-metric spaces. In this work, we prove Kannan’s and Chatterjea’s fixed point theorems in the framework of Mb-cone metric space over Banach algebra. Illustrative examples are presented to justify our main results.

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Author Biographies

Jerolina Fernandez, Department of Science, The Bhopal School of Social Sciences, Bhopal, M.P., India

Associate Professor,

Department of Science,

The Bhopal School of Social Sciences,

Bhopal, M.P., India

Neeraj Malviya, Government College, Timarni, M.P., India

Associate Professor,
Department of Mathematics,

Government College, Timarni, M.P., India

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