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F. M. Zeyada, G. H. Hasan and M. A. Ahmed, A generalization of a fixed point theorem due to Hitzler and Seda in dislocated quasi-metric spaces, Arab. J. Sci. Eng. Sec. A Sci. 31(1) (2006) 111-114.

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Article

Some Fixed Point Theorems and Cyclic Contractions in Dislocated and Dislocated Quasi-Metric Spaces

1Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania

2KL University, Green Fields, Vaddeswaram, Guntur District, Andhra Pradesh, India

3Department of Mathematics, Faculty of Natural Sciences, University of Tirana, Albania


American Journal of Numerical Analysis. 2014, Vol. 2 No. 3, 79-84
DOI: 10.12691/ajna-2-3-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Kastriot Zoto, Panda Sumati Kumari, Elida Hoxha. Some Fixed Point Theorems and Cyclic Contractions in Dislocated and Dislocated Quasi-Metric Spaces. American Journal of Numerical Analysis. 2014; 2(3):79-84. doi: 10.12691/ajna-2-3-3.

Correspondence to: Kastriot  Zoto, Department of Mathematics and Computer Sciences, Faculty of Natural Sciences, University of Gjirokastra, Gjirokastra, Albania. Email: zotokastriot@yahoo.com

Abstract

In this paper, we established some common fixed point theorems for types of cyclic contractions in the setting of dislocated metric spaces. Using type of contraction introduced by Geraghty [19] and a class of continuous functions G3 in [10] we extend, generalize and unify some results in the existing literature.

Keywords