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Some Fixed Point Theorems in Complex Valued b-Metric Spaces


Affiliations
1 Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001, India
2 Department of Mathematics, Shri Shankaracharya College of Engineering and Technology, Bhilai, Chhattisgarh 490020, India
3 Department of Mathematics, Dr. C.V. Raman University, Bilaspur, Chhattisgarh 495113, India
 

Recently, Azamet al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.
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  • Some Fixed Point Theorems in Complex Valued b-Metric Spaces

Abstract Views: 111  |  PDF Views: 2

Authors

A. K. Dubey
Department of Mathematics, Bhilai Institute of Technology, Bhilai House, Durg, Chhattisgarh 491001, India
Rita Shukla
Department of Mathematics, Shri Shankaracharya College of Engineering and Technology, Bhilai, Chhattisgarh 490020, India
R. P. Dubey
Department of Mathematics, Dr. C.V. Raman University, Bilaspur, Chhattisgarh 495113, India

Abstract


Recently, Azamet al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.