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BINAYAK S. CHOUDHURY,Pulak Konar,Nikhilesh Metiya 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper we prove certain coupled coincidence point and coupled common xed point results in partially ordered metric spaces for a pair of compatible mappings which satisfy certain rational inequality. The results are supported with two examples.
WEAK INEQUALITIES WITH CONTROL FUNCTIONS AND FIXED POINT RESULTS
Choudhury, Binayak S. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.3
In recent times control functions have been used in several problems of metric fixed point theory. Also weak inequalities have been considered in a number of works on fixed points in metric spaces. Here we have incorporated a control function in certain weak inequalities. We have established two fixed point theorems for mapping satisfying such inequalities. Our results are supported by examples.
WEAK INEQUALITIES WITH CONTROL FUNCTIONS AND FIXED POINT RESULTS
Binayak S. Choudhury 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.3
In recent times control functions have been used in several problems of metric fixed point theory. Also weak inequalities have been considered in a number of works on fixed points in metric spaces. Here we have incorporated a control function in certain weak inequalities. We have established two fixed point theorems for mapping satisfying such inequalities. Our results are supported by examples.
FIXED POINTS OF GENERALIZED KANNAN TYPE MAPPINGS IN GENERALIZED MENGER SPACES
Choudhury, Binayak S.,Das, Krishnapada Korean Mathematical Society 2009 대한수학회논문집 Vol.24 No.4
Generalized Menger space introduced by the present authors is a generalization of Menger space as well as a probabilistic generalization of generalized metric space introduced by Branciari [Publ. Math. Debrecen 57 (2000), no. 1-2, 31-37]. In this paper we prove a Kannan type fixed point theorem in generalized Menger spaces. We also support our result by an example.
CHOUDHURY, BINAYAK S.,KONAR, PULAK,METIYA, NIKHILESH The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper we prove certain coupled coincidence point and coupled common fixed point results in partially ordered metric spaces for a pair of compatible mappings which satisfy certain rational inequality. The results are supported with two examples.
Banerjee, Shrabani,Choudhury, Binayak S. Korean Mathematical Society 2011 대한수학회논문집 Vol.26 No.1
In the present work we construct a composite implicit random iterative process with errors for a finite family of asymptotically nonexpansive random operators and discuss a necessary and sufficient condition for the convergence of this process in an arbitrary real Banach space. It is also proved that this process converges to the common random fixed point of the finite family of asymptotically nonexpansive random operators in the setting of uniformly convex Banach spaces. The present work also generalizes a recently established result in Banach spaces.
RELATION BETWEEN METRIC AND FUZZY METRIC SPACES AND SOME FIXED POINT THEOREMS
Nabi Shobe,Shaban Sedghi,Binayak S. Choudhury 한국전산응용수학회 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this work we have considered several common fixed point results in metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in fuzzy metric spaces.
RELATION BETWEEN METRIC AND FUZZY METRIC SPACES AND SOME FIXED POINT THEOREMS
Shobe, Nabi,Sedghi, Shaban,Choudhury, Binayak S. The Korean Society for Computational and Applied M 2012 Journal of applied mathematics & informatics Vol.30 No.1
In this work we have considered several common fixed point results in metric spaces for weak compatible mappings. By applications of these results we establish some fixed point theorems in fuzzy metric spaces.