Some results on weakly inward mapping in geodesic metric spaces
Keywords:
Keywords: fixed point, weakly inward, CAT(0) spaces,contraction mapping,geodesic spaces
Abstract
Geodesic spaces are convex nonlinear spaces. Convexity is a significant tool to generalize some properties of Banach spaces. In this paper, the characterization of weakly inward was extended to CAT(0) spaces and give equivalent condition for the existence of fixed point for multivalued mapping
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References
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[2] J. Caristi and W. A. Kirk, “Geometric fixed point theory and inwardness conditions,” Proc. Conf. Geom. Metr. Linear Spaces, 1974.
[3] B. R. Halpern, “Fixed point theorems for outward maps,” Univ. of California, 1965.
[4] J.Caristi, “fixed point theorems for mappings satisfying inwardness conditions,” Trans. Am. Math. Soc., vol. 215, pp. 241–252, 1976.
[5] Y. R. H. X.P. Ding, “fixed point theorems for metrically wein set–valued mappings,” J. Appl. Anal., vol. 5, pp. 283–293, 1999.
[6] S. Reich, “Approximate selections, best approximations, fixed point, and invariant sets,” J. Math. Anal. Appl., vol. 62, pp. 104–133, 1987.
[7] S. Dhompongsa, “Lim’s theorems for multivalued mappings in CAT(0) spaces,” J. Math. Anal. Appl, vol. 312, no. 478–487, 2005.
[8] W.A.Kirk, “Geodesic Geometry And Fixed Point THoery,” Fixed Point Theory Appl, vol. 68, pp. 113–124, 2003.
[9] M. E. A.Abkar, “geodesic metric space and generalized nonexpansive multivalued mapping,” Bulltin Iran. Math. Soc., vol. 39, pp. 993–1008, 2013.
[10] Mm. Ian J Searston BSc, “Nonlinear analysis in geodesic metric spaces,” The University of Newcastle, 2014.
[11] X. P. D. and Y. R. HE, “Fixed Point Theorems For Metrically Weakly Inward Set–Valued Mappings,” J. Appl. Anal., vol. 5, pp. 283–293, 1999.
Published
2020-07-12
How to Cite
alisawi, khalid, & Salwa Salman Abed. (2020). Some results on weakly inward mapping in geodesic metric spaces . Al-Qadisiyah Journal of Pure Science, 25(3), Math. 109-. https://doi.org/10.29350/qjps.2020.25.3.1113
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Section
Mathematics
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