Open AccessFixed point theorems for generalized (beta-phi)-contractive pair of mappings using simulation functions
Author(s) -
Manoj Kumar,
Rashmi Sharma
Publication year - 2021
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.40870
Subject(s) - mathematics , coincidence point , metric space , class (philosophy) , fixed point theorem , beta (programming language) , point (geometry) , order (exchange) , discrete mathematics , fixed point , pure mathematics , mathematical analysis , computer science , geometry , finance , artificial intelligence , economics , programming language
In this paper, our aim is to present a new class of generalized (beta-phi)-Z- contractive pair of mappings and we prove certain xed point theorems for a pair of mappings using this concept. Our results generalizes some xed point theorems in the literature. As an application some xed point theorems endowed with a partial order in metric spaces are also proved.