• SUFFICIENT CONDITIONS FOR THE EXISTENCE OF FIXED POINTS OF WEAK GENERALIZED GERAGHTY CONTRACTIONS IN COMPLETE METRIC SPACES
Abstract
We introduce the notion of -weak generalized Geraghty contractions via triangular -admissible mappings to prove some sufficient conditions for the existence of fixed points of such maps in complete metric space, where is an altering distance function and where satisfying . Examples are provided to illustrate our results.
Keywords
Fixed points, Weak contraction, Altering distance function, Geraghty type contraction. triangular - admissible, complete metric space, - weak generalized Geraghty contraction.
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |