Fixed Point Theorems for \((\xi,\alpha)\)-Expansive Mappings in Metric Like Spaces
DOI:
https://doi.org/10.26713/cma.v15i1.2067Keywords:
Fixed point, \((\xi ,\alpha )\)-expansive mappings, Metric like spacesAbstract
In this paper, we shall introduce the \((\xi ,\alpha )\)-expansive mappings and prove some fixed point theorems for these mappings in complete metric like spaces. We shall also provide examples to illustrate the main results.
Downloads
References
C. T. Aage and J. N. Salunke, Some results of fixed point theorem in dislocated quasi metric space, Bulletin of Marathwada Mathematical Society 9 (2008), 1 – 5.
C. T. Aage and J. N. Salunke, The results of fixed points in dislocated and dislocated quasi-metric space, Applied Mathematical Sciences 2(59) (2008), 2941 – 2948.
M. U. Ali and T. Kamran, On (α∗,ψ)-contractive multi-valued mappings, Fixed Point Theory and Applications 2013 (2013), Article number: 137, DOI: 10.1186/1687-1812-2013-137.
A. Amini-Harandi, Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory and Applications 2012 (2012), Article number: 204, DOI: 10.1186/1687-1812-2012-204.
B. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundamenta Mathematicae 3(1) (1992), 133 – 181, URL: https://eudml.org/doc/213289.
A. Hitzler and A. K. Seda, Dislocated topologies, Journal of Electrical Engineering 51(12/s) (2000), 3 – 7, URL: http://iris.elf.stuba.sk/JEEEC/data/pdf/12s_100-02.pdf.
A. Isufati, Fixed point theorems in dislocated quasi-metric spaces, Applied Mathematical Sciences 4(5) (2010), 217 – 223.
E. Karapınar and P. Salimi, Dislocated metric space tometric spaces with some fixed point theorems, Fixed Point Theory and Applications 2013 (2013), Article number: 222, DOI: 10.1186/1687-1812-2013-222.
W. A. Kirk, P. S. Srinivasan and P. Veeramani, Fixed points for mapping satisfying cyclical contractive conditions, Fixed Point Theory 4(1) (2003), 79 – 89, URL: https://www.math.ubbcluj.ro/~nodeacj/vol__4(2003)_no_1.htm.
M. Kohli, R. Shrivastava and M. Sharma, Some results on fixed point theorems in dislocated quasi metric space, International Journal of Theoretical & Applied Sciences 2(1) (2010), 27 – 28.
B. Samet, C. Vetro and P. Vetro, Fixed point theorems for α-ψ-contractive types mappings, Nonlinear Analysis: Theory, Methods & Applications 75(4) (2012), 2154 – 2165, DOI: 10.1016/J.NA.2011.10.014.
P. Shahi, J. Kaur and S. S. Bhatia, Fixed point theorems for (ξ,α)-expansive mappings in complete metric spaces, Fixed Point Theory and Applications 2012 (2012), Article number: 157, DOI: 10.1186/1687-1812-2012-157.
S. Z. Wang, B. Y. Li, Z. M. Gao and K. Iseki, Some fixed point theorems on expansion mappings, Mathematica Japonica 29 (1984), 631 – 636.
Z. M. Zeyada, G. H. Hassab and M. A. Ahmad, A generalization of fixed point theorem due to Hitzler and Seda in dislocated quasi metric space, Arabian Journal for Science and Engineering 31(2005), 111 – 114, DOI: ref.
K. Zoto, E. Houxha and A. Isufati, Some new results in dislocated and dislocated quasi-metric space, Applied Mathematical Sciences 6(71) (2012), 3519 – 3526.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.