Some Fixed Points Results in b -Metric and Quasi b -Metric Spaces

Author:

George Reny12ORCID,Aranđelović Ivan D.3ORCID,Mišić Vesna4,Mitrović Zoran D.5ORCID

Affiliation:

1. Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

2. Department of Mathematics and Computer Science, St. Thomas College, Bhilai, Chhattisgarh, India

3. University of Belgrade, Faculty of Mechanical Engineering, 11000 Beograd, Kraljice Marije 16, Serbia

4. Faculty of Transport and Traffic Engineering, University of East Sarajevo, Vojvode Mišića 52, 53000 Doboj, Bosnia and Herzegovina

5. University of Banja Luka, Faculty of Electrical Engineering, 78000 Banja Luka, Patre 5, Bosnia and Herzegovina

Abstract

We present a fixed point result in quasi b -metric spaces. Our result generalizes recent fixed point results obtained by Aleksić et al., Dung and Hang, Jovanović et al., Sarwar, and Rahman and classical results obtained by Hardy, Rogers, and Ćirić. Also, we obtain a common fixed point result in b -metric spaces. As a special case, we get a result of Ćirić and Wong.

Publisher

Hindawi Limited

Subject

Analysis

Reference26 articles.

1. ĆirićL. B.Fixed and periodic points of contractive operators, [Ph.D. thesis]1970SerbianUniv. Belgrade-Faculty of Siences

2. Generalized Contractions and Fixed-Point Theorems;L. B. Ćirić;Publications de l’Institut Mathématiqu,1971

3. Fixed points for generalized multi-valued contractions;L. B. Ćirić;Matematichki Vesnik,1972

4. On a family of contractive maps and fixed points;L. B. Ćirić;Institut Mathématique,1974

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