Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property
Author(s) -
Erdal Karapınar,
Deepesh Kumar Patel,
Mohammad Imdad,
Dhananjay Gopal
Publication year - 2013
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2013/753965
Subject(s) - mathematics , property (philosophy) , class (philosophy) , fixed point theorem , metric space , fixed point , point (geometry) , limit (mathematics) , pure mathematics , coincidence point , range (aeronautics) , fixed point property , discrete mathematics , mathematical analysis , computer science , philosophy , geometry , epistemology , artificial intelligence , materials science , composite material
We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished
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