Sushanta Mohanta
West Bengal State University, Barasat, 24 Parganas(North), Kolkata-700126, West Bengal, India
[ 1 ] - Coincidence point and common fixed point results via scalarization function
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in $b$-metric spaces. Next, we obtain cone $b$-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
[ 2 ] - Coupled coincidence point theorems for maps under a new invariant set in ordered cone metric spaces
In this paper, we prove some coupled coincidence point theorems for mappings satisfying generalized contractive conditions under a new invariant set in ordered cone metric spaces. In fact, we obtain sufficient conditions for existence of coupled coincidence points in the setting of cone metric spaces. Some examples are provided to verify the effectiveness and applicability of our results.
[ 3 ] - Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions
In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided to justify the validity of our results.
[ 4 ] - Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.
[ 5 ] - Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function....
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