We consider a family of skew tent maps fa on the unit interval, determined by parameter a, with 0<a<1. give decision procedure, that input and point x0 in determines whether or not sequence x0,fa(x0),fa2(x0),... iterates reaches one two fixed points after finite number iterations.

Abstract Nonlinear fractional differential equations have been intensely studied using fixed point theorems on various different function spaces. Here we combine theory with complex analysis, considering spaces of analytic functions and the behaviour powers. It is necessary to study carefully initial value properties Riemann–Liouville derivatives in order set up an appropriate problem, since so...

in this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. some of these results are improved by using different arguments of control functions. examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.

‎in this paper‎, ‎by using four functionals fixed point theorem‎, ‎we obtain sufficient conditions for the existence of‎ ‎at least one positive solution of an $n$th-order $m$-point boundary value problem‎. ‎as an application‎, ‎we give an example to demonstrate our main result.

We prove a unique common fixed-point theorem for two pair of weakly compatible maps in a complete metric space, which generalizes the result of Brian Fisher by a weaker condition such as weakly compatibility instead of compatibility and contractive modulus instead of continuity of maps.

We prove a common fixed point theorem for four two pairs of hybrid mappings in compact metric space satisfying an implicit relations using the concept of strict occasionally weak compatibility which generalize theorems of [1, 4, 7, 28]. As an application we obtain a general fixed point theorem for hybrid pairs satisfying a contractive condition of integral type, which is a new result in compact...

In this paper, the concept of semi-compatibility in Fuzzy metric space has been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of semi-compatibility and weak compatibility of pair of self maps, which generalizes the result of Cho [1]. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

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 ...