One important application of Volterra filters is the equalization of nonlinear systems. Under certain conditions, this problem can be posed as a fixed point problem involving a contraction mapping. In this paper, we generalize the previously studied local inverse problem to a very broad class of equalization problems. We also demonstrate that subspace information regarding the response behavior...

Abstract In this paper, we compute a common solution of the fixed point problem (FPP) and generalized split null (GSCNPP) via inertial hybrid shrinking approximants in Hilbert spaces. We show that can be easily adapted to various extensively analyzed theoretical problems framework. Finally, furnish numerical experiment analyze viability comparison with results presented (Reich Tuyen Rev. R. Aca...

The main objective of the paper is to prove some unified common fixed point theorems for a family mappings under minimal set sufficient conditions. Our results subsume and improve host contractive type available in literature metric theory. Simultaneously, we provide new answers general framework problem posed by Rhoades (Contemp Math 72, 233-245, 1988) regarding existence definition which stro...

In this paper, we consider the inverse problem for identifying initial value of time–space fractional nonlinear diffusion equation. The uniqueness solution is proved by taking fixed point theorem Banach compression, and ill-posedness analyzed through exact solution. quasi-boundary regularization method chosen to solve ill-posed problem, error estimate between given. Moreover, several numerical ...

In the context of a complete metric space, we will consider common fixed point problem for two self operators. The operators are assumed to satisfy general contraction type condition inspired by Ćirić theorems. Under some appropriate conditions establish existence, uniqueness and approximation results point. same framework, second is study various stability properties. More precisely, obtain su...

In this paper, we introduce and solve a class of optimal stopping problems recursive type. particular, the payoff depends directly on value function problem itself. multidimensional Markovian setting, show that is well posed in sense indeed unique solution to fixed point suitable space continuous functions, an time exists. We then apply our model for stock trading two different market venues, d...

in this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-laplacian fractional order differential equations. we use schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. we include some examples to show the applicability of our results.

In this paper we use fixed point tilings to answer a question posed by Michael Hochman and show that every one-dimensional effectively closed subshift can be implemented by a local rule in two dimensions. The proof uses the fixed-point construction of an aperiodic tile set and its extensions.

‎In this paper‎, ‎we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian‎ ‎dynamic equation on time scales‎. ‎We prove the existence at least three positive solutions of the boundary‎ ‎value problem by using the Avery and Peterson fixed point theorem‎. ‎The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly‎. ‎Our results ...