RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS Nurcan Bilgili Güngör1* 1Amasya University, Amasya, Turkey
IEEE N. Bilgili Güngör, "RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS", SETSCI Conference Proceedings, vol. 3, pp. 305-309 , 2018.
BibTeX
@INPROCEEDINGS{citation,
author = {Bilgili Güngör, Nurcan},
title = {RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS},
year = {2018},
volume = {3},
pages = {305-309 },
publisher = {SETSCI Conference Proceedings},
abstract = {In 2012 Karapınar and Samet introduced the notion of α- contractive mappings and proved some well-known fixed point theorems. On the other hand in 2006 Mustafa and Sims gave the definition of G-metric space which is the generalization of metric space. In 2013 Algamdi and Karapınar combined these two notions as G-β - contractive mappings. They presented and proved related fixed point theorems. In this paper β-admissible mappings in G-metric spaces are restricted and some fixed point theorems are given. Our main results will give a new perspective to previous works in G-metrics. Indeed, as a result of a special selection of the given mappings, we obtained the main results of Algamdi and Karapınar as a conclusion },
doi = {},
}
RIS
TY - CONF
AU - Bilgili Güngör, Nurcan
TI - RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS
PY - 2018
PB - SETSCI Conference Proceedings
VL - 3
AB - In 2012 Karapınar and Samet introduced the notion of α- contractive mappings and proved some well-known fixed point theorems. On the other hand in 2006 Mustafa and Sims gave the definition of G-metric space which is the generalization of metric space. In 2013 Algamdi and Karapınar combined these two notions as G-β - contractive mappings. They presented and proved related fixed point theorems. In this paper β-admissible mappings in G-metric spaces are restricted and some fixed point theorems are given. Our main results will give a new perspective to previous works in G-metrics. Indeed, as a result of a special selection of the given mappings, we obtained the main results of Algamdi and Karapınar as a conclusion
DO -
ER -
EndNote
%0 Book
%A Bilgili Güngör, Nurcan
%T RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS
%D 2018
%I {SETSCI Conference Proceedings}
%J {SETSCI Conference Proceedings}
%V 3
%P 305-309
%D 2018
%M doi:
Open Access
RESTRUCTURING OF β-ADMISSIBLE MAPPINGS IN G-METRIC SPACES AND FIXED POINT THEOREMS
In 2012 Karapınar and Samet introduced the notion of α- contractive mappings and proved some well-known fixed point theorems. On the other hand in 2006 Mustafa and Sims gave the definition of G-metric space which is the generalization of metric space. In 2013 Algamdi and Karapınar combined these two notions as G-β - contractive mappings. They presented and proved related fixed point theorems. In this paper β-admissible mappings in G-metric spaces are restricted and some fixed point theorems are given. Our main results will give a new perspective to previous works in G-metrics. Indeed, as a result of a special selection of the given mappings, we obtained the main results of Algamdi and Karapınar as a conclusion
Keywords - ....
[1] Alghamdi, M. and Karapınar, E., G-β- Contractive-Type Mappings in G-Metric Spaces, Fixed Point
Theory and Applications 2013, 2013:123.
[2] Alghamdi, M. and Karapınar, E., G-β- Contractive-Type Mappings and Related Fixed Point Theorems,
Journal of Inequalities and Applications 2013, 2013:151.
[3] Karapınar, E. and Samet, B., Generalized α − Contractive Type Mappings and Related Fixed Point
Theorems with Applications, Abstract and Applied Analysis 2012, Vol.2012, Hindawi.
[4] Mustafa, Z. and Sims, B., A new approach to generalized metric spaces, Journal of Nonlinear and Convex
Analysis 2006, 7(2),289-297.
[5] Salimi, P., Latif, A. and Hussain, N., Modified --contractive mappings with applications. Fixed Point
Theory and Applications, 2013, 2013(1), 151.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
