On Jungck–Branciari–Wardowski Type Fixed Point Results

Mathematics

Reny George¹  ZoranD. Mitrović²  Stojan Radenović³  Biljana Carić⁴  Tatjana Došenović⁵ 

[1] Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia;Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina;Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia;Faculty of Technical Science, University of Novi Sad, Trg Dositeja Obradovića 6, 21000 Novi Sad, Serbia;Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, 21000 Novi Sad, Serbia;

关键词: fixed point;    banach contraction principle;    branciari contraction;    jungck contraction;    compatible mappings;   

DOI  :  10.3390/math9020161

来源: DOAJ

【 摘 要 】

The terms of $F-$integral contraction as well as $(\varpi ,\tilde{\zeta },F,i)-$integral contraction are introduced. Fixed point and common fixed point theorems are established. For the mapping F we use only the supposition that it is strictly increasing. As a consequence of the main theorems we obtain Jungck–Wardowski, Branciari–Wardowski and Jungck–Branciari type results. Consequently, the results presented in the article enhance and complement some known results in literature.

【 授权许可】

Unknown