Common Coupled Fixed Point Theorems without Compatibility in Partially Ordered Metric Spaces
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Date
2022-06-30
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Publisher
International Journal of Mathematical Sciences and Optimization: Theory and Applications
Abstract
A perfect blend of requirements for the proof of common coupled fixed point theorems in
partially ordered metric space without the assumptions of (weak) compatibility is accomplished.
Previous attempts in this direction involving these assumptions mostly ensure existence of
coupled coincidence points. In many existing works in this area, attempt have been made to
prove the existence of common coupled fixed points. However, only identity mappings can
satisfy the conditions of the theorems. The method of proof presented in this present work is
powerful in view of the fact that it guarantees the existence of common coupled fixed points
without the imposition of (weak) compatibility conditions and identity mappings. To illustrate
the results, an example is provided.
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Citation
K. R. Tijani, O. T. Wahab, I. F. Usamot, S. M. Alata (2022), Common Coupled Fixed Point Theorems without Compatibility in Partially Ordered Metric Spaces, International Journal of Mathematical Sciences and Optimization: Theory and Applications Vol. 8, No. 1, pp. 88 - 100