b -metric spaces. Examples and application also are presented in support of the obtained results.

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Common Fixed Point Theorems in Ordered Ab –Metric Spaces

K. Ravibabu*, CH. Srinivasa Rao**, CH. Raghavendra Naidu***
* Department of Mathematics, GMR Institute of Technology, Rajam, Andhra Pradesh, India.
** Department of Mathematics, Mrs. A. V. N. College, Visakhapatnam, Andhra Pradesh, India.
*** Department of Mathematics, Government Degree College, Rajam, Andhra Pradesh, India.
Periodicity:January - June'2022
DOI : https://doi.org/10.26634/jmat.11.1.18452

Abstract

In this paper, we establish some results on the existence and uniqueness of common fixed point theorems in partially ordered Ab -metric spaces. Examples and application also are presented in support of the obtained results.

Keywords

Weakly Monotone Property, Ab-Metric with Index n, A - Metric Space, Integral Equation.

How to Cite this Article?

Ravibabu, K., Rao, C. H. S., and Naidu, C. H. R. (2022). Common Fixed Point Theorems in Ordered Ab –Metric Spaces. i-manager’s Journal on Mathematics, 11(1), 20-30. https://doi.org/10.26634/jmat.11.1.18452

References

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[3]. George, R., & Pathak, H. K. (2020). Some New Extensions of Multivalued Contractions in a b-metric Space and Its Applications. Mathematics, 9(1), 12. https://doi.org/10.3390/math9010012
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[6]. Ravibabu, K., Rao, C. S., & Naidu, C. R. (2018). Coupled fixed and coincidence point theorems for generalized contractions in metric spaces with a partial order. Italian Journal of Pure and Applied Mathematics, 39, 434-450.
[7]. Ughade, M., Turkoglu, D., Singh, S. R., & Daheriya, R. D. (2016). Some fixed point theorems in Ab-metric space. British Journal of Mathematics & Computer Science, 19, 1-24.
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