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Research Article Open access CC BY 4.0

Some Fıxed Poınt Theorems ın Ab -Metrıc Space

Manoj Ughade, Duran Turkoglu, Sukh Raj Singh, R. D. Daheriya

Journal of Advances in Mathematics and Computer Science · pp. 1–24 · Published 18 Nov 2016

10.9734/BJMCS/2016/29828

Abstract

In this paper, we introduce the notion of Ab -metric space and to study its basic topological properties. We prove some fixed point theorems under different contraction and expansion type conditions in the setting of Ab -metric space and partially ordered Ab -metric space.Our results generalize and extend various results in the existing literature.

Ab-metric space contractive mapping expansive mapping fixed point.

Cited by 12

Common fixed point theorems in ordered ab–metric spaces

K. Ravibabu, Rao CH. Srinivasa, Naidu CH. Raghavendra · i-manager’s Journal on Mathematics · 2022

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