Study on Fixed Point Theorems of Weakly Compatible Mappings in b2-Metric Space Satisfying Contractive Conditions

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Study on Fixed Point Theorems of Weakly Compatible Mappings in b2-Metric Space Satisfying Contractive Conditions

September 3, 2021 Mathematics and Computer Science 0

The terms 2-metric space and b-metric space are used interchangeably. The b2 -metric space introduced by Mustafa et al. (Z. Mustafa, V. Paraneh, J. Razaei, and Z. Kadulberg: b2 -metric spaces and some fixed point theorems, Fixed Point Theory and Applications 2014, 2014:144) is generalised. In this paper, we prove a common fixed point theorem for two pairs of weakly compatible mappings in b2 metric space that satisfy the contractive condition (φ,ψ).

Author (S) Details

Thokchom Chhatrajit Singh
Department of Mathematics, Manipur Technical University, Imphal, Manipur -795004, India.

Yumnam Rohen Singh
Department of Mathematics, National Institute of Technology Manipur, Langol, India.

K. Anthony Singh
Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal, India.

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