[PDF][PDF] A common fixed point theorem for a family of self maps in cone b 2-metric space
M Rangamma, PRB Murthy… - Int. J. Pure Appl …, 2017 - pdfs.semanticscholar.org
M Rangamma, PRB Murthy, PM Reddy
Int. J. Pure Appl. Math, 2017•pdfs.semanticscholar.orgAn analogue of Banach contraction principle and Kannan's fixed point theorem by defining
the minimality in a Banach space was proved by R. George et. al., in Generalized cone b-
metric space in [1]. We proved the same fixed point theorem extending it for a family of self-
maps in the setting of cone b2-metric space by omitting the definition of minimality in a
Banach space. AMS Subject Classification: 47H10, 54H25
the minimality in a Banach space was proved by R. George et. al., in Generalized cone b-
metric space in [1]. We proved the same fixed point theorem extending it for a family of self-
maps in the setting of cone b2-metric space by omitting the definition of minimality in a
Banach space. AMS Subject Classification: 47H10, 54H25
Abstract
An analogue of Banach contraction principle and Kannan’s fixed point theorem by defining the minimality in a Banach space was proved by R. George et. al., in Generalized cone b-metric space in [1]. We proved the same fixed point theorem extending it for a family of self-maps in the setting of cone b2-metric space by omitting the definition of minimality in a Banach space.
AMS Subject Classification: 47H10, 54H25
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