Common Fixed Point Theorems in Complex Valued Metric Space and Application: R. K. Verma, H. K. Pathak

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Common Fixed Point Theorems in Complex Valued Metric Space and Application

R. K. Verma, H. K. Pathak

Authors

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Keywords:

complex-valued metric space, contractive condition, (CLR)-property, (CLCS)-property, (E.A)-property, partial order, weakly compatible mappings

Abstract

In this paper, we prove some common fixed point results for two pairs of weakly compatible mappings ina complex valued metric space by using a new property. Our result is then applied to prove a common fixed point theorem in GV-fuzzy metric space. These results are the generalization of varioustheorems of ordinary and fuzzy metric spaces.

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Published

2019-04-01

How to Cite

Team, S. (2019). Common Fixed Point Theorems in Complex Valued Metric Space and Application: R. K. Verma, H. K. Pathak. Thai Journal of Mathematics, 17(1), 75–88. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/875