F-Bipolar metric spaces and fixed point theorems with applications

Fixed Point Results in F-Bipolar Metric Spaces with Applications

“…In this research work, we utilize the notion of F-bipolar metric space, which is more general metric space than F-metric space and bipolar metric space and establish fixed point results for Reich and Fisher type contractions. In this way, we generalize the main results of Rawat et al [25] in F-bipolar metric space, Mutlu et al [13] in bipolar metric space, and Jleli et al [11] and Al-Mazrooei et al [12] in F-metric space. As applications of our leading results, we study conditions for the existence and uniqueness of an integral equation.…”

“…Very recently, Rawat et al [25] unified the above two innovative conceptions, specifically F-metric space and bipolar metric space, and provided the idea of F-bipolar metric space in this way.…”

“…However, a lot of decisive work has been investigated the existence for fixed points of self-and multivalued mappings in the setting of bipolar metric space (see [14][15][16][17][18][19][20][21][22][23][24]) and references therein). Very recently, Rawat et al [25] unified the above two innovative concepts, namely F-metric space and bipolar metric space, and introduced the concept of F-bipolar metric space and proved the Banach contraction principle in this newly introduced metric space.…”

Solving Integral Equation and Homotopy Result via Fixed Point Method

“…We will symbolize the covariant mapping as B : (S 1 , T 1 ) ⇒ (S 2 , T 2 ) and the contravariant mapping as B : (S 1 , T 1 ) (S 2 , T 2 ). Rawat et al [21] unified the above two novel notions, F-MS and bip MS, and introduced the notion of F-bipolar metric space (F-bip MS) in the following way.…”

“…A significant task relates to the existence of fixed points in the setting of bip MS (see [16][17][18][19][20]). Rawat et al [21] unified the above two important notions, specifically F-MS and bip MS, and introduced the notion of F-bipolar metric space ( F-bip MS) and presented some results.…”