WebWe prove some coincidence theorems involving a pair of self-mappings and defined on an ordered metric space wherein is -increasing -contractive mapping. In our results, neither the whole space nor the range subspaces (or ) are required to be complete. Instead, we use the completeness of a subspace of satisfying suitable conditions. 1. Introduction Web1 de fev. de 2010 · However, the problem to prove the probabilistic versions of the very important generalization of the Banach Contraction Principle, obtained in 1969 by Boyd and Wong [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458–464], who proved the fixed point theorem for a self-mapping of a metric …

A Common Fixed Point Theorem for Nonlinear Quasi-Contractions …

Web13 de abr. de 2024 · In this paper, a new contraction mapping is introduced which is a generalization of many different contractions. The definition involves a simulation function as well as rational terms. The main results are fixed point results obtained under certain metric and order theoretic conditions. An illustrative example is discussed. Several well … WebThe following theorem concerning the aforementioned kind of contractions confirms the existence of a fixed point of the same. Theorem 3.2. Let !be a strict convex modular on X such that the modular space X! is !-complete and suppose that T : X!!X! is a Hardy-Roger !-contractive mapping with the condition that for each >0, there exists x = x( ) 2X how much is interest on car loans

ON NONLINEAR CONTRACTIONS - American Mathematical Society

WebLet ( X, d ) be a Hausdorff semimetric ( d need not satisfy the triangle inequality) and d –Cauchy complete space. Let ƒ be a selfmap on X , for which d (ƒ x , ƒ y ) ≤ φ ( d ( x, y )), ( x, y ∈ X ), where φ is a non– decreasing function from R + , the nonnegative reals, into R + such that φ n ( t ) → 0, for all t ∈ R + . We prove that ƒ has a unique fixed point if there ... WebIn this paper, continuing in this direction, we further refine the functional inequality and establish some fixed point results for nonlinear contractive mappings in the new setting. … Web1 de mai. de 2024 · In this article, we introduced a new concept of mappings called δZA - Quasi contractive mapping and we study the K*- iteration process for approximation of fixed points, and we proved that this iteration process is faster than the existing leading iteration processes like Noor iteration process, CR -iteration process, SP and Karahan Two- step … how do horses mate humans