In this paper, we shall prove the fixed point theorems in metric space using \(\alpha\) - admissible mapping. Some existing results of literature be deduced from main results. end, provide an example to support our result.

In this thesis we compare several combinatorial models for the Moduli space of open-closed cobordisms and their compactifications. More precisely, we study Godin’s category of admissible fat graphs, Costello’s chain complex of black and white graphs, and Bödigheimer’s space of radial slit configurations. We use Hatcher’s proof of the contractibility of the arc complex to give a new proof of a r...

In this paper, we prove some fixed point results in the setting of a Banach space via cyclic \((\alpha ,\beta ,z)\)-admissible mapping imbedded simulation function. Our extend and generalize well known existing literature.

In this paper, we introduce the new notion of contravariant (α−ψ) Meir–Keeler contractive mappings by defining α-orbital admissible and covariant contraction in bipolar metric spaces. We prove fixed point theorems for these contractions also provide some corollaries main results. An example is be given support our result. end, solve an integral equation using

Let I be a finite or infinite index set, let X be a topological space, and let Yi, φNi i∈I be a family of FC-spaces. For each i ∈ I, letAi : X → 2i be a set-valued mapping. Some new existence theorems of maximal elements for a set-valued mapping and a family of set-valued mappings involving a better admissible set-valuedmapping are established under noncompact setting of FC-spaces. Our results ...

In this paper, we introduce the notion of generalized (α, φ, ψ)- Geraghty contractive type mappings in setup Sb-metric spaces and α-orbital admissible with respect to φ. Furthermore, fixed-point theorems for such complete are proven without assuming subadditivity ψ. Some examples provided supporting our main results. Also, gave an application integral equations as well Homotopy.

To date, orbital and ground image data have been mostly separately processed for topographic mapping in Mars landed missions. We are in the process of developing a method for the integration of orbital and ground image networks to enhance precision mapping. In this research, HiRISE stereo images were used as orbital data while ground data include MER-B Pancam stereo images and their pointing in...

In this paper, we construct smooth travelling counter-rotating vortex pairs with circular supports for the generalized surface quasi-geostrophic equation. These are analogues of Lamb dipoles two-dimensional incompressible Euler The solutions obtained by maximization energy over some appropriate classes admissible functions. We establish uniqueness maximizers and compactness maximizing sequences...

rehabilitation of facial defects is a complex task, requiring an individualized design of the technique for each patient. the disfigurement associated with the loss of an eye may result in significant physical and emotional problems. various treatment modalities are available, one of which is the use of implants. although implant-supported orbital prosthesis has a superior outcome, it may not b...