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H. Aydi, W. Shatanawi, “On Ԍeneralized weakly Ԍ-contraction mappinԌ in Ԍ-metric Spaces,” Comput. Math. Appl. 62 (2011) 4222-4229.

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Article

Rational Inequalities Using Compatibility, Weak Compatibility and Common Properties in Ԍ-Metric Space

1Manav Rachna International Institute of Research and Studies

2Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, India

3L. 1627 Awadh Puri Colony Beniganj, Phase – III, Opp.- I.T.I., Ayodhya Main Road, Faizabad 224 001, U.P., India


Turkish Journal of Analysis and Number Theory. 2018, Vol. 6 No. 1, 34-39
DOI: 10.12691/tjant-6-1-5
Copyright © 2018 Science and Education Publishing

Cite this paper:
Nisha Sharma, Vishnu Narayan Mishra, and Arti Saxena. Rational Inequalities Using Compatibility, Weak Compatibility and Common Properties in Ԍ-Metric Space. Turkish Journal of Analysis and Number Theory. 2018; 6(1):34-39. doi: 10.12691/tjant-6-1-5.

Correspondence to: Vishnu  Narayan Mishra, Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur 484 887, India. Email: vishnunarayanmishra@gmail.com

Abstract

We explain the popularized concept of G-metric space and some current common properties of functions like compatibility and others. Particularly two self functions are specified and some most achieved fixed point theorems are generalized using some rational inequalities.

Keywords