Fixed Points of (α, β, F*) and (α, β, F**)-Weak Geraghty Contractions with an Application

Abstract

This study aims to provide some new classes of (α,β,F*)-weak Geraghty contraction and (α,β,F**)-weak Geraghty contraction, which are self-generalized contractions on any metric space. Furthermore, we find that the mappings satisfying the definition of such contractions have a unique fixed point if the underlying space is complete. In addition, we provide an application showing the uniqueness of the solution of the two-point boundary value problem.

On fixed point and its application to the spread of infectious diseases model in Mvb‐metric space

“…Some of the very widely celebrated generalizations are introduced by Kannan [12], Reich [13], Chatterjea [14], Hardy-Rogers [15], Wardowski [16], and so on. Also, there are generalizations in a way of introducing rational contractions (see [17,18]). To learn more about the generalizations in the direction of Wardowski [16], one can look up references [17,[19][20][21][22][23][24][25][26][27].…”

“…Also, there are generalizations in a way of introducing rational contractions (see [17,18]). To learn more about the generalizations in the direction of Wardowski [16], one can look up references [17,[19][20][21][22][23][24][25][26][27].…”

Solution of an algebraic linear system of equations using fixed point results in C∗−algebra valued extended Branciari Sb−metric spaces

“…This outcome has been demonstrated to be an extremely helpful instrument for ensuring the existence and originality of answers to many types of difficult issues that arise in a variety of fields both inside and outside of mathematics. The traditional Banach contraction concept has been expanded upon and developed in a variety of ways (see [13,14,19,12,8,6,16,20]).…”

On fixed point and its application to the spread of infectious diseases model in Mvb- metric space

“…Some of the very widely celebrated generalizations are introduced by Kannan 12 , Reich 13 , Chatterjea 14 , Hardy-Rogers 15 , Wardowski 16 , and so on. Also, there are generalizations in a way of introducing rational contractions (see 17,18 ). To learn more about the generalizations in the direction of Wardowski 16 , one can look up references 19,20,21,17,22,23,24,25,26,27 .…”

“…Also, there are generalizations in a way of introducing rational contractions (see 17,18 ). To learn more about the generalizations in the direction of Wardowski 16 , one can look up references 19,20,21,17,22,23,24,25,26,27 . This work aims to extend the results of Joshi et al 9 and 28 to more general contractions of rational type in a new distance structure known as 𝑀 𝑏 𝑣 −metric space.…”