In this article, we establish fixed point results by defining the concept of F-Khan contraction an orthogonal set modifying symmetry usual contractive conditions. We also provide illustrative examples to support our results. The derived have been applied find analytical solutions integral equations. are verified with numerical simulation.

The purpose of this article is to discuss some new aspects the vector-valued metric space. idea an arbitrary binary relation along with well-known F contraction used demonstrate existence fixed points in context a complete space for both single- and multi-valued mappings. Utilizing relation, help contraction, work extends complements very recently established Perov-type fixed-point results lite...

In this article, we present some fixed point and coupled theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via measure noncompactness (M.N.C). Then define a new class generalized F-contractions, to upgrade results Falest Latrach (Bull Bell Math Soc Simon Stevin 22:797–812, 2015). Furthermore, investigate solvability system Volterra integral equations Algebra. Fi...

In this paper, we introduce new notions of generalized F-contractions type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

to determine the usefulness of the time intervals obtained from the first derivative of apex cardiogram (da/dt) in assessing contraction and relaxation, 20 hemodynamically and angiographical1y investigated patients with coronary artery disease and 29 patients with hypertensive heart disease were studied. as a control group there were used 50 normal subjects. since contraction and relaxation is ...

The main purpose of this manuscript is to prove a common fixed point theorem for two weakly compatible maps satisfying the following integral type contraction in \(G\)-metric space:\[\int^{G(\mathcal{F}x,\mathcal{F}y,\mathcal{F}z)}_0\varphi (t)dt\le \alpha \int^{L(x,y,z)}_0\varphi (t)dt,\] all \(x,y, z\in X\), where\begin{align*}L(x,y,z)&=\max\{G(gx, gy, gz), G(gx, \mathcal{F}x, \mathcal{F}...