A COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS
N. Chandra1 , Bharti Joshi2 , M. C. Arya3 and Mahesh C. Joshi4
1Department of Mathematics, S. N. S. Government Postgraduate College, Narayan Nagar, Pithoragarh-262550, Uttarakhand, India
2,4 Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital-263002, Uttarakhand, India
3Department of Mathematics, B. S. R. Government Degree College, Rikhanikhal, Pauri-246179 Garhwal, Uttarakhand, India Email:email@example.com, firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
(Received : October 29, 2021; Revised : November 15, 2021; In final form : December 30, 2021)
The aim of the paper is to obtain a common fixed point theorem for a (ψ, φ)-weak contraction under a generalized rational type condition in a complete metric space. Our result generalizes many well known theorems of literature.
2020 Mathematical Sciences Classification: 47H10, 54H25.
Keywords and Phrases: Weak compatibility, (ψ, φ)-weak contraction, common fixed point.
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