COMMON FIXED POINT THEOREMS OF ALMOST SUZUKI TYPE CONTRACTIONS IN BI COMPLEX VALUED $b$-METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 229

Volume : 18 , Issue : 1
DOI:
Author :
M. Madhuri (Department of Science and Humanities, Lendi Institute of Engineering and Technology, Viziangaram, Jonnada - 535005, Andhra Pradesh, INDIA)
M V R Kameswari (Department of Mathematics, GITAM University, Visakhapatnam - 530045, Andhra Pradesh, INDIA)

Abstract

We study common fixed point theorems of Suzuki type contractions employing alpha admissible function for two selfmaps in bicomplex valued b-metric space rendered by rational expressions. These results are enhanced through examples. Also, as a consequence, we obtain common fixed point theorems for bi complex valued b-metric space endowed with a partial order.

Keywords and Phrases

Bicomplex valued b-metric spaces, $\alpha$-admissible function, Suzuki type contractions, common fixed points.

A.M.S. subject classification

47H09, 47H10, 46N99, 54H25.

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