Complete monotonicity properties of some functions involving the psi function are studied and some known results are extended and generalized. Moreover, a necessary and sufficient conditions for some functions to be completely monotonic are presented and proved. Mathematics subject classification (2010): 33B15, 26D15.

Charles[1] proved the convergence of Picard-type iterative for generalized Φ− accretive non-self maps in a real uniformly smooth Banach space. Based on theorems zeros strongly quasi- and fixed points hemi-contractions, we extend results to Ishikawa iteration process with er- rors hemi-contractive .

Abstract We propose a method for constructing generalized fuzzy Hausdorff distance on the set of nonempty compact subsets given metric space in sence George–Veeramni and Tian–Ha–Tian. Next, we define fractal spaces. Morever, obtain fixed point theorem class contractions present an application integranl equation.

Multiparametric quantum gl(2) algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.

We present fixed point results for generalized homotopy contractions on spaces with two G -metric. The focus is on continuation results for such type of mappings. MSC: 54H25 • 46J10

This paper explores certain best proximity point expansions for a novel class of non-self-mapping S : P ? Q and T called generalized proximal C-contractions the first second kinds. We expose many examples to justify our obtained results. Considerable fixed results are evolved as consequence main theorems.

Abstract This article proposes four distinct kinds of symmetric contraction in the framework complete F-metric spaces. We examine condition to guarantee existence and uniqueness a fixed point for these contractions. As an application, we look solutions fractional boundary value problems involving generalized derivative known as with respect another function.

The purpose of this paper is to establish coincidence point and common fixed point results for four maps satisfying generalized weak contractions in cone metric spaces. Also, an example is given to illustrate our results.

We study sharp growth conditions for the boundedness of Hardy-Littlewood maximal function in generalized Orlicz spaces. assume that \(\phi(x,t)\) satisfies standard continuity properties (A0), (A1) and (A2). show if is bounded from space to itself then \(\phi(x,t)/t^p\) almost increasing large \(t\) some \(p>1\). Moreover we \(L^\phi(\mathbb{R}^n)\) only \(\phi\) weakly equivalent a \(\psi\)...