On multivalued Suzuki-type θ-contractions and related applications

Abstract

<jats:title>Abstract</jats:title> <jats:p>In this study, we develop the concept of multivalued Suzuki-type <jats:italic>θ</jats:italic>-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.</jats:p>

Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC‐Contractions with Applications

“…In the recent past, the study of metric fixed point theory untied a portal to a new area of pure and applied mathematics, the fixed point theory and its application. is concept was prolonged by either extending metric space into its extensions or by modifying the structure of the contractions (see [1][2][3][4][5][6][7]).…”

A certain class of $\theta_{L}$-type non-linear operators and some related fixed point results

“…Iterative systems are used in several branches of applied mathematics, and the criteria of convergence proof and the error estimates are very often produced by an application of the Banach fixed point theorem. The idea of fixed point theory was explored and furthered by a good number of researchers (see, e.g., [1,2,3,4]). Banach's concept was prolonged by either extending metric spaces in many different ways or by modifying the structure of the contraction itself.…”

Fixed Point Results for Rational Orbitally ( Θ , δ b )-Contractions with an Application

“…In 2012, Jleli and Samet [20] introduced a new type of contraction named as Θ-contraction and obtained a fixed point result to generalize the celebrated Banach Contraction Principle in Branciari metric spaces. Ali et al [21] defined multivalued Suzuki-type θ-contractions and obtained some generalized fixed point results. Afterwards, Jleli et al [22] established a new fixed point theorem for Θ-contraction in the setting of Branciari metric spaces and extended the main result of Jleli and Samet [20].…”

“…Recently, Alamri et al [23] adapted Jleli's approach to the b-metric space and obtained some generalized fixed point results. For more details in the direction of Θ-contractions, we refer the reader to [21][22][23][24][25][26][27][28][29][30].…”