Finding Fixed Points for Set-Valued Mappings by Graph Concepts
DOI:
https://doi.org/10.23851/mjs.v31i4.894Abstract
The researchers have presented some theorems of the fixed points of single-valued mappings by defining known contractive conditions on those points in the same path from a given graph. Here, this procedure will be modified and used to find fixed points of order-preserve mappings in a complete partially ordered g-metric space.
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S. B. Nadler, "Multivalued contraction mappings", Pacific Journal of Mathematics, 30(2), pp.475-488, 1969.
S. Reich, "Some remarks concerning contraction mappings", Canadian Mathematical Bulletin, 14(1), pp.121-124, 1971.
A. Azam, M. Arshad, " Fixed points of a sequence of locally contractive multivalued maps". Computers & Mathematics with Applications, 57(1), pp.96-100, 2009.
I. Beg, AR. Butt, " Fixed point of set-valued graph contractive mappings ", Journal of Inequalities and Applications, 2013(1), pp.1-7, 2013.
I. Beg A. Butt, S. Radojevi?, " The contraction principle for set-valued mappings on a metric space with a graph ", Computers & Mathematics with Applications, 60(5), pp.1214-1219,2010.
D. Klim, D. Wardowski, " Fixed point theorems for set-valued contractions in complete metric spaces ". Journal of Mathematical Analysis and Applications, 334(1), pp.132-139, 2007.
S.S.Abed, " Fixed point principles in general b-metric Spaces and b-Menger probabilistic spaces ", Journal of Al-Qadisiyah for Computer Science and Mathematics, 10(2), pp.42-53,2018.
Z.Mustafa, A new structure for generalized metric spaces-with applications to fixed point theory. Ph.D. thesis, the University of Newcastle, Australia (2005)
S. S. Abed, H.A. Jabbar, " Coupled points for total weakly contraction mappings via ? distance", Int. J. Basic Appl. Sci, 5(3), pp.164-171,2016.
S. S. Abed, " Approximating fixed points of the general asymptotic set-valued mappings", Journal of Advances in Mathematics, 18, pp.52-59,2020.
A.N.Faraj, S.S.Abed, " Fixed points results in G-metric spaces", Ibn AL-Haitham Journal For Pure And Applied Science, 32(1), pp.139-146, 2019.
Sh. Q. Latif, S. S. Abed, " Types of fixed points of set-valued contraction conditions for comparable elements" , Iraqi Journal of Science, Special Issue ,190-195, 2020.
J. Jachymski, The contraction principle for mappings on a metric space with a graph, Proceedings of the American Mathematical Society, 136(4), pp.1359-1373, 2008.
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