Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces

Authors

  • Vedula Perraju

Keywords:

fixed points, weak contraction, altering distance function, geraghty type contraction coupled 3B1; 2212; admissible, partial b - metric, complete partial

Abstract

We introduce the notion of - weak generalized Geraghty contractions in complete partially ordered partial b - metric spaces via triangular -admissible mappings We obtain sufficient conditions for the existence of fixed points of such maps in complete partially ordered partial b - metric spaces with coefficient s 1 where is an altering distance function and where 0 0 1 satisfying tn 1 tn 0 Examples are provided to illustrate our results

How to Cite

Vedula Perraju. (2016). Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces. Global Journal of Science Frontier Research, 16(F2), 89–111. Retrieved from https://journalofscience.org/index.php/GJSFR/article/view/1759

Existence of Fixed Points of a Pair of Self Maps under Weak Generalized Geraghty Contractions in Complete Partially Ordered Partial B-Metric Spaces

Published

2016-01-15