In this paper, we prove a general common fixed point theorem for two pairs of weakly compatible self-mappings of a (possibly non complete) metric space such that one of them satisfies the property (E.A) under a contractive condition of Lipschitz type. Our result provides a generalization and some improvements to a result obtained by K. Jha, R.P. Pant and S.L. Singh in 2003 and a recent result o...

The construction of optimal non-uniform mappings for discrete input memoryless channels (DIMCs) is investigated. An efficient algorithm to find optimal mappings is proposed and the rate by which a target distribution is approached is investigated. The results are applied to non-uniform mappings for additive white Gaussian noise (AWGN) channels with finite signal constellations. The mappings fou...

The purpose of this paper is to prove that orbital continuity for a pair self-mappings necessary and sufficient condition the existence uniqueness common fixed point these mappings defined on Menger PM-spaces with nonlinear contractive condition. main results are obtained using notion R-weakly commutativity type Af (or Ag). These generalize some known results.

*Correspondence: [email protected] Department of Mathematics, King Saud University, Riyadh, Saudi Arabia Abstract Consider a non-self-mapping T : A→ B, where (A,B) is a pair of nonempty subsets of a metric space (X ,d). In this paper, we study the existence and uniqueness of solutions to the global optimization problem minx∈A d(x, Tx), where T belongs to the class of proximal quasi-contraction ...

In this paper we introduce the Jungck-Agarwal et al. iteration procedure and obtain strong convergence as well as stability results for a pair of non-self mappings. The results obtained are generalization of some existing results in the literature. In addition, we show that the rate of convergence of this newly defined iteration procedure is better than JungckMann, Jungck-Ishikawa and JungckNoo...

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of...