Fixed point theorems in dislocated quasi-metric spaces

Volume 10, Issue 9, pp 4695--4703 http://dx.doi.org/10.22436/jnsa.010.09.12

Publication Date: September 08, 2017 Submission Date: April 25, 2017

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Authors

Shizheng Li - LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China. - College of Mathematical Sciences, Dezhou University, Dezhou, Shandong 253023, P. R. China. Akbar Zada - Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan. Rahim Shah - Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan. Tongxing Li - LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China. - School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China.

Abstract

In this paper, we discuss the existence and uniqueness of a fixed point in a dislocated quasi-metric space. Several fixed point theorems for distinct type of contractive conditions are presented that generalize, extend, and unify a number of related results reported in the literature. Illustrative examples are provided.

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Keywords

• Dislocated quasi-metric space
• fixed point
• contraction mapping
• self-mapping
• Cauchy sequence.

MSC

•  47H10

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