(C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph
Keyword(s):
In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed point theorems for such mappings in a metric space endowed with a graph. Our results unify and generalize many important fixed point results existing in literature. As an application of our main result, we have derived fixed point theorems for a pair of α -admissible set valued mappings in a metric space.
1975 ◽
Vol 13
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pp. 261-267
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2007 ◽
Vol 2007
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pp. 1-7
1974 ◽
Vol 17
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pp. 257-259
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2019 ◽
Vol 1172
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pp. 012111
2005 ◽
Vol 2005
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pp. 3045-3055
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