In this paper, we provide a generalization of rectangular b-metric space by relaxing the inequality to include unequal weights. We examples and restrictions for Lipschitz constant enabling convergence some sequences in proof fixed point theorems.

ranking fuzzy numbers plays a very important role in linguistic decision making and other fuzzy application systems. in spite of many ranking methods, no one can rank fuzzy numbers with human intuition consistently in all cases. shortcoming are found in some of the convenient methods for ranking triangular fuzzy numbers such as the coefficient of variation (cv index), distance between fuzzy set...

‎in this paper some properties of weak regular injectivity for $s$-posets‎, ‎where $s$ is a pomonoid‎, ‎are studied‎. ‎the behaviour‎ ‎of different kinds of weak regular injectivity with products‎, ‎coproducts and direct sums is considered‎. ‎also‎, ‎some‎ ‎characterizations of pomonoids over which all $s$-posets are of‎ ‎some kind of weakly regular injective are obtained‎. ‎further‎, ‎we‎ ‎giv...

In this paper we address the recovery conditions of weighted `p minimization for signal reconstruction from compressed sensing measurements when partial support information is available. We show that weighted `p minimization with 0 < p < 1 is stable and robust under weaker sufficient conditions compared to weighted `1 minimization. Moreover, the sufficient recovery conditions of weighted `p are...