Abstract Consider the space of weighted binomial matrices in Nakano sequence soft functions. We have offered some geometric and topological structures multiplication operator acting on this its associated ideal. The existence a fixed point Kannan contraction prequasioperator ideal is confirmed. Finally, we discuss many applications solutions to nonlinear stochastic dynamical matrix systems illu...

This research paper generalizes and extends various fixed-point results that demonstrate common theorems for F -Kannan–Suzuki type mappings in TVS-valued cone metric spaces. The are supported using interpretative exemplifications applications include nonlinear fractional as well two-point periodic ordinary differential equ...

In this present study, we propose the concept of tricomplex-controlled metric spaces as a generalization both controlled metric-type and tricomplex spaces. work, establish fixed point results using Banach, Kannan Fisher-type contractions supported with nontrivial examples in setting proposed space. We apply derived result to find analytical solution an integral equation technique under same met...

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings respect to simulation function in complete metric space. An illustrative example is furnished validate our main result. Our result extends the M. S. Khan et al. [15]. As application, provide existence soluti...

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This paper investigates the connexion between the Kannan-Lipton Orbit Problem and the polynomial invariant generator algorithm PILA based on eigenvectors computation. Namely, we reduce the problem of generating linear and polynomial certificates of non-reachability for the Orbit Problem for linear transformations with coefficients in Q to the generalized eigenvector problem. Also, we prove the ...

In this work, we first introduce the concept of approximate sequence and establish some new convergence theorems for approximate sequences. By applying our new convergence theorems, we obtain new best proximity point theorems which improve and generalize some known results in the literature. As applications, some simultaneous generalizations of common fixed point theorems of Banach type, Kannan...

The purpose of the paper is to establish a sufficient condition for existence solution equation T(u,C(u))=u using Kannan-type equicontractive mappings, T:A×C(A)¯→Y, where C compact mapping, A bounded, closed and convex subset Banach space Y. To achieve this objective, authors have presented Sadovskii’s theorem, which utilizes measure noncompactness. relevance obtained results has been illustrat...