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Mathematical Communications, Vol. 14 No. 2, 2009.

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

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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

https://hrcak.srce.hr/43995

Publication date:

9.12.2009.

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