Unique Common Fixed Point for a Family of Mappings with a Nonlinear Quasi-Contractive Type Condition in Metrically Convex Spaces
Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 167–175
Abstract
A class $\Phi$ of 5-dimensional functions was introduced and an existence and uniqueness of common fixed points for a family of non-self mappings satisfying a $\phi_i$-quasi-contractive condition and a certain boundary condition was given on complete metrically convex metric spaces, and from which, more general unique common fixed point theorems were obtained. Our main results generalize and improve many same type common fixed point theorems in references.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n2.6
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 2 : pp. 167–175
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Metrically convex space a class $\Phi$ of 5-dimensional functions $\phi_i$-quasi-contraction common fixed point complete.
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