Some Fixed Point Theorems for Berinde-Type Contraction Mappings on Gp-Metric Spaces
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 3
Abstract
In this paper, we de ne the concepts of (δ, 1 − δ)-weak contraction, (φ, 1 − δ)-weak contraction and Ciric-type almost contraction in the sense of Berinde in Gp-complete Gp-metric space. Furthermore, we prove the existence of xed points and common xed points of mappings satisfying Berinde-type contractions stated above and also provide the conditions which are necessary for the uniqueness of the xed points and common xed points. Consequently, we obtain the generalizations of comparable results in the literature. In addition, we introduce a few examples which ensure the existence of these attained results.
Authors and Affiliations
Seyma Cevik, Hasan Furkan
Keywords
Related Articles
- EP ID EP322566
- DOI 10.9734/JAMCS/2017/37129
- Views 84
- Downloads 0
ms*-Modules
Let R be a ring and M a left R-module. A module M is called ms*-module if each maximal submodule is equivalent to a supplement in M. In this work, we focus on ms*-module and study various properties of this module.
Oscillating Solutions of the Lane-Emden Equation for Polytropic Indices m = 0 and 1
With new approach, trigonometric solutions of the well-known Lane-Emden equation for m = 0; 1 are derived. To the best of author's knowledge these trigonometric solutions oscillating are not reported in the existing lite...
On Riesz Sections in Sequence Spaces
The theory of FK spaces was introduced by Zeller in [1] and some properties of sectional subspaces in FK spaces were investigated by Zeller in [2]. The notion of Cesaro sections in FK spaces was studied in [3]. In [4], B...
Evaluation of Calinski-Harabasz Criterion as Fitness Measure for Genetic Algorithm Based Segmentation of Cervical Cell Nuclei
In this paper, the classi cation capability of Calinski-Harabasz criterion as an internal cluster validation measure has been evaluated for clustering-based region discrimination on cervical cells. In this approach, subr...
Research on the Dual Problem of Trust Region Bundle Method
With the rapid development of science and technology as well as the cross-integration between the various disciplines, the nonsmooth optimization problem plays an increasingly important role in operational research. In t...