Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
View through CrossRef
AbstractWe generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H. Guang and Z. Xian (2007); P. Vetro (2007); M. Abbas and G. Jungck (2008); Sh. Rezapour and R. Hamlbarani (2008). In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed. Consequently, the results generalize several fixed results in metric spaces including the results of G. E. Hardy and T. D. Rogers (1973), R. Kannan (1969), G. Jungck, S. Radenovic, S. Radojevic, and V. Rakocevic (2009), and all the references therein.
Title: Some Generalizations of Fixed Point Theorems in Cone Metric Spaces
Description:
AbstractWe generalize, extend, and improve some recent fixed point results in cone metric spaces including the results of H.
Guang and Z.
Xian (2007); P.
Vetro (2007); M.
Abbas and G.
Jungck (2008); Sh.
Rezapour and R.
Hamlbarani (2008).
In all our results, the normality assumption, which is a characteristic of most of the previous results, is dispensed.
Consequently, the results generalize several fixed results in metric spaces including the results of G.
E.
Hardy and T.
D.
Rogers (1973), R.
Kannan (1969), G.
Jungck, S.
Radenovic, S.
Radojevic, and V.
Rakocevic (2009), and all the references therein.
Related Results
Concerning Fuzzy b-Metric Spaces †
Concerning Fuzzy b-Metric Spaces †
In an article published in 2015, Hussain et al. introduced a notion of a fuzzy b-metric space and obtained some fixed point theorems for this kind of space. Shortly thereafter, Năd...
Expansion mapping in controlled metric space and extended B-metric space
Expansion mapping in controlled metric space and extended B-metric space
This paper delves into the intricate study of expansion mappings within the frameworks of controlled metric spaces and extended B-metric spaces. Expansion mappings, known for their...
A comparative study of mappings in metric space and controlled metric space
A comparative study of mappings in metric space and controlled metric space
The objective of this paper is to present a comparative study of mapping in Metric Space and Controlled Metric Space. The study provides the structure, gap analysis and application...
Common Fixed Point Theorems in Complex-Valued Non-Negative Extended b-Metric Spaces
Common Fixed Point Theorems in Complex-Valued Non-Negative Extended b-Metric Spaces
We introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea
improves and extends...
Coupled Fixed Points for (φ,ψ) - Contractive Mappings in Partially Ordered Mod
Coupled Fixed Points for (φ,ψ) - Contractive Mappings in Partially Ordered Mod
The Banach contraction principle is the most famous fixed point theorem. Many authors presented some new results for contractions in partially ordered metric spaces. Fixed point th...
Riemannian Curvature of a Sliced Contact Metric Manifold
Riemannian Curvature of a Sliced Contact Metric Manifold
Contact geometry become a more important issue in the mathematical world with the works which had done in the 19th century. Many mathematicians have made studies on contact manifol...
Improving Precision of Deformable Image Registration
Improving Precision of Deformable Image Registration
Deformable image registration (DIR) has various applications in medical image analysis such as in adaptive radiotherapy (ART) and multi-atlas segmentation. ART uses DIR to warp the...
On Modular b-Metrics
On Modular b-Metrics
The notions of modular b-metric and modular b-metric space were introduced by Ege and Alaca as natural generalizations of the well-known and featured concepts of modular metric and...