On monotone Ćirić quasi-contraction mappings with a graph
نویسندگان
چکیده
منابع مشابه
On Monotone Ćirić Quasi–contraction Mappings
We prove the existence of fixed points of monotone quasi-contraction mappings in metric and modular metric spaces. This is the extension of Ran and Reurings fixed point theorem for monotone contraction mappings in partially ordered metric spaces to the case of quasicontraction mappings introduced by Ćirić. The proofs are based on Lemmas ?? and ??, which contain two crucial inequalities essentia...
متن کاملQuasi-contraction Mappings in Modular Spaces
As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kind of mappings in modular function spaces without the ∆2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness. 2000 Subject Classification: Primary 46E30; Secondary 47H09, 47H10.
متن کاملThe Contraction Principle for Mappings on a Metric Space with a Graph
We give some generalizations of the Banach Contraction Principle to mappings on a metric space endowed with a graph. This extends and subsumes many recent results of other authors which were obtained for mappings on a partially ordered metric space. As an application, we present a theorem on the convergence of successive approximations for some linear operators on a Banach space. In particular,...
متن کاملThe Banach Type Contraction for Mappings on Algebraic Cone Metric Spaces Associated with An Algebraic Distance and Endowed with a Graph
In this work, we define the notion of an algebraic distance in algebraic cone metric spaces defined by Niknam et al. [A. Niknam, S. Shamsi Gamchi and M. Janfada, Some results on TVS-cone normed spaces and algebraic cone metric spaces, Iranian J. Math. Sci. Infor. 9 (1) (2014), 71--80] and introduce some its elementary properties. Then we prove the existence and uniqueness of fixed point for a B...
متن کاملAn optimization problem involving proximal quasi-contraction mappings
*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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2015
ISSN: 1687-1812
DOI: 10.1186/s13663-015-0341-2