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

Kastriot Zoto^1, , Panda Sumati Kumari² and Elida Hoxha³

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

Cite this paper:
Kastriot Zoto, Panda Sumati Kumari and 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

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:
cyclic map cyclical contraction dislocated metric common fixed point

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