α-admissible contractions on quasi-metric-like space

Open Access

Original research article

Author(s):

Marija Cvetković, Vladimir Rakočević

Department of Mathematics, Faculty of Mathematics and Sciences, University of Niš, Višegradska 33, 18000 Niš, Serbia

Advances in the Theory of Nonlinear Analysis and its Applications 1(2), 113-124.

Received: October 2, 2017

Accepted: November 5, 2017

Published: November 12, 2017

Abstract

In the setting of a complete quasi-metric-like spaces we investigate some ﬁxed point problems via admissible mappings. Contractive condition includes (c)-comparison function. Deﬁnition of (α,ψ)-contraction is generalized and continuity of f is replaced with regularity of observed space. Presented results improve and extend several results on quasi-metric-like spaces.

Keywords: Quasi-metric-like space, fixed point, -admissible, $(b)$ -comparison functions.

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APA Style

Cvetkovic, M., & Rakocevic, V. (2017). α-admissible contractions on quasi-metric-like space. Advances in the Theory of Nonlinear Analysis and its Application, 1(2), 113-124.