On Jungck–Branciari–Wardowski type fixed point results

Biljana Carić; Tatjana Došenović; Reny George; Zoran D. Mitrović; Stojan Radenović

doi:10.3390/math9020161

On Jungck–Branciari–Wardowski type fixed point results

Biljana Carić
, Tatjana Došenović
, Reny George
, Zoran D. Mitrović
, Stojan Radenović

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

The terms of F−integral contraction as well as (ϖ, ˜ζ, 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.

Original language	English
Article number	161
Pages (from-to)	1-11
Number of pages	11
Journal	Mathematics
Volume	9
Issue number	2
DOIs	https://doi.org/10.3390/math9020161
State	Published - 2 Jan 2021

Keywords

Banach contraction principle
Branciari contraction
Compatible mappings
Fixed point
Jungck contraction

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title = "On Jungck–Branciari–Wardowski type fixed point results",

abstract = "The terms of F−integral contraction as well as (ϖ, ˜ζ, 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.",

keywords = "Banach contraction principle, Branciari contraction, Compatible mappings, Fixed point, Jungck contraction",

author = "Biljana Cari{\'c} and Tatjana Do{\v s}enovi{\'c} and Reny George and Mitrovi{\'c}, \{Zoran D.\} and Stojan Radenovi{\'c}",

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year = "2021",

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doi = "10.3390/math9020161",

language = "English",

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TY - JOUR

T1 - On Jungck–Branciari–Wardowski type fixed point results

AU - Carić, Biljana

AU - Došenović, Tatjana

AU - George, Reny

AU - Mitrović, Zoran D.

AU - Radenović, Stojan

PY - 2021/1/2

Y1 - 2021/1/2

N2 - The terms of F−integral contraction as well as (ϖ, ˜ζ, 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.

AB - The terms of F−integral contraction as well as (ϖ, ˜ζ, 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.

KW - Banach contraction principle

KW - Branciari contraction

KW - Compatible mappings

KW - Fixed point

KW - Jungck contraction

UR - https://www.scopus.com/pages/publications/85099963692

U2 - 10.3390/math9020161

DO - 10.3390/math9020161

M3 - Article

AN - SCOPUS:85099963692

SN - 2227-7390

VL - 9

SP - 1

EP - 11

JO - Mathematics

JF - Mathematics

IS - 2

M1 - 161

ER -

On Jungck–Branciari–Wardowski type fixed point results

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Keywords

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