Common Fixed Points of (α,Ψ,φ)- Almost Generalized Weakly Contractive Maps in S-metric spaces

Document Type: Original Article

Authors

1 Department of Mathematics, Andhra University, Visakhapatnam-530 003, INDIA.

2 Department of Mathematics, Lendi Institute of Engineering and Technology, Vizianagaram-535 005, INDIA.

3 Department of Mathematics, Satya Institute of Technology and Management, Vizianagaram-535 002, INDIA.

Abstract

In this paper, we introduce a pair of (α,Ψ,φ)-almost generalized weakly contractive maps in S-metric spaces and prove the existence and uniqueness of common fixed points of such maps under weakly compatible property. Our results extend and generalize the results of Babu and Leta to a pair of maps in S-metric spaces and also generalize the result of Sedghi, Shobe, and Aliouche. We provide examples in support of our results.

Keywords

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