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http://dx.doi.org/10.22771/nfaa.2022.27.03.07

COMMON FIXED POINT FOR RECIPROCALLY CONTINUOUS AND WEAKLY COMPATIBLE MAPS IN A G-METRIC SPACE  

Swapna, P. (Department of Mathematics, JNTUH College of Engg. (MVSR Engineering College))
Phaneendra, T. (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology)
Rajashekar, M.N. (Department of Mathematics, JNTUH College of Engg.)
Publication Information
Nonlinear Functional Analysis and Applications / v.27, no.3, 2022 , pp. 569-585 More about this Journal
Abstract
A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.
Keywords
Spaces with three dimensional metric structures; reciprocally continuous; compatible self-maps; weakly compatible self-maps in G-metric space; common fixed point;
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