We illustrate some recent results on exact solutions to discrete-time l1-norm minimization problems with convolution constraints. A fixed-point property for this class of problems is introduced. The convolution constraints can be interpreted as a dynamic system with initial conditions. We show by construction that optimal solutions with a rational Z-transform exist for any initial conditions sa...

It is proved that there is a single unary formula F of Peano arithmetic PA and a fixed infinite set S of fixed points ^ of F in PA with the following property. Let T be any recursively enumerable, 2"-sound extension of PA. Then (i) almost all $ in & are undecidable in T, and (ii) for all such ¡j> and all equivalence relations E satisfying reasonable conditions and refining provable equivalence ...

In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in Hilbert spaces. We propose an iterative for finding a common element of solution L-Lipschitz pseudocontractive operator. demonstrate that considered converges strongly to investigated problems under some mild conditions.

In this paperwe prove a fixed point theorem for six self mappings by using compatibility of type(β) under the contractive conditions of integral type in Fuzzy Metric Spaces and extends the results on metric and fuzzy metric spaces.

In this article, we apply two new fixed point theorems to investigate the existence of mild solutions for a nonlocal fractional Cauchy problem with an integral initial condition in Banach spaces.

we de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.

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.