Some Fixed Point Theorems for Berinde-Type Contraction Mappings on Gp-Metric Spaces
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 3
Abstract
In this paper, we de ne the concepts of (δ, 1 − δ)-weak contraction, (φ, 1 − δ)-weak contraction and Ciric-type almost contraction in the sense of Berinde in Gp-complete Gp-metric space. Furthermore, we prove the existence of xed points and common xed points of mappings satisfying Berinde-type contractions stated above and also provide the conditions which are necessary for the uniqueness of the xed points and common xed points. Consequently, we obtain the generalizations of comparable results in the literature. In addition, we introduce a few examples which ensure the existence of these attained results.
Authors and Affiliations
Seyma Cevik, Hasan Furkan
Keywords
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- EP ID EP322566
- DOI 10.9734/JAMCS/2017/37129
- Views 62
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