Dislocated quasi-metric and generalized contractions


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	Dislocated quasi-metric and generalized contractions


	Fixed Point Theory, Volume 19, No. 1, 2018, 359-368, February 1st, 2018 DOI: 10.24193/fpt-ro.2018.1.27 Authors: Lech Pasicki Abstract: The paper contains some fixed point theorems for generalized contractions in dislocated quasi-metric spaces. The simplest requirement is condition: p(f(y),f(x)) ≤ g(p(y,x)), for all x, y ∈ X, where p is a dislocated quasi-metric on X (if p(x,y) = p(y,x) = 0, then x=y; 0 ≤ p(x,z) ≤ p(x,y) + p(y,z)) and g is a comparison function of a general type. Our results are far extensions of some known fixed point theorems for dislocated quasi-metric spaces. Key Words and Phrases: Dislocated quasi-metric, fixed point, generalized contraction, fixed point, cyclic mapping. 2010 Mathematics Subject Classification: 54H25, 47H10, 54E99. Published on-line: February 1st, 2018. Abstract pdf Fulltext pdf Back to volume's table of contents