Original scientific paper
Fixed points of strip $\varphi$-contractions
Kambhampaty Pattabhi Rama Sastry
; 8-28-8/1, Tamil Street, Chinna Waltair, Visakhapatnam-530017, India
Gutti Venkata Ravindranadh Babu
; Department of Mathematics, Andhra University,Visakhapatnam-530 003, India
Mukkavilli Vani Rama Kameswari
; Department of Mathematics, Andhra University,Visakhapatnam-530 003, India
Abstract
In this paper, we introduce strip $\varphi$-contraction, where $\varphi$ is an altering distance function, and obtain sufficient conditions for the existence of fixed points for such maps. Further, we extend it to a pair of selfmaps. These results improve and generalize the results of Khan, Swaleh and Sessa [1], Sastry and Babu [5] and Park [4] to strip $\varphi$-contractions.
Keywords
selfmaps; metric spaces; strip $\varphi$-contractions; orbitally continuous; fixed points
Hrčak ID:
43995
URI
Publication date:
9.12.2009.
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