Some Fıxed Poınt Theorems ın Ab -Metrıc Space
Manoj Ughade
Department of Mathematics, Sarvepalli Radhakrishnan University, Bhopal, India.
Duran Turkoglu
Department of Mathematics, Gazi University, Ankara, Turkey.
Sukh Raj Singh *
Department of Mathematics, J H Government P G College, Betul, India
R. D. Daheriya
Department of Mathematics, J H Government P G College, Betul, India.
*Author to whom correspondence should be addressed.
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.
Keywords: Ab-metric space, contractive mapping, expansive mapping, fixed point.