Necessary and sufficient conditions for the existence of common fixed points of continuous self-mappings in complete Menger spaces

Authors

  • Jyotsana Majumdar Guru Ghasidas Vishwavidyalaya Bilaspur
  • Koti N. V. V. Vara Prasad Guru Ghasidas Vishwavidyalaya(A Central University), Bilaspur(C.G.)

Keywords:

Fxed points, Menger space, Compatible map, Compatible mapping of type(A), weakly compatible map

Abstract

The purpose of this paper is to establish necessary and sufficient conditions for existence of a common fixed point of three maps f, g and h in a complete Menger space under a general contractive condition. Our main result is generalization of the result of Ismat Beg and Mujahid Abbas.

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Published

2022-05-14

Issue

Vol. 6 (2022)

Section

Articles

License

Copyright (c) 2022 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.