Geodesic
Fixed point results under nonlinear Suzuki (F, R )-contractions with an application
Filomat, Tome 36 (2022) no. 9, p. 3155

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DOI

In this article, we introduce the idea of nonlinear Suzuki (F, R)-contractions, which is patterned after the contractive conditions due to Suzuki [Nonlinear Anal. 71 (2009) 5313-5317] and Wardowski [Fixed Point Theory Appl. (2012) 94:6]. Utilizing our newly introduced contraction, we establish some relation-theoretic fixed point theorems. Furthermore, we adopt an example to highlight the genuineness of our newly proved results. Finally, we use our main results to establish the existence and uniqueness of solution for a nonlinear matrix equation.
DOI : 10.2298/FIL2209155A
Classification : 47H10, 54H25
Keywords: amorphous binary relations, nonlinear Suzuki (F, R, )-contractions, R-connected sets 
Mohammad Arif; Mohammad Imdad. Fixed point results under nonlinear Suzuki (F, R )-contractions with an application. Filomat, Tome 36 (2022) no. 9, p. 3155 . doi: 10.2298/FIL2209155A
@article{10_2298_FIL2209155A,
     author = {Mohammad Arif and Mohammad Imdad},
     title = {Fixed point results under nonlinear {Suzuki} {(F,} {R} )-contractions with an application},
     journal = {Filomat},
     pages = {3155 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209155A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209155A/}
}
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