Fixed Point Theory and Graph Theory by Qamrul Ansari, Monther Alfuraidan

Fixed Point Theory and Graph Theory



Download Fixed Point Theory and Graph Theory

Fixed Point Theory and Graph Theory Qamrul Ansari, Monther Alfuraidan ebook
ISBN: 9780128042953
Format: pdf
Publisher: Elsevier Science & Technology Books
Page: 312


In 2006, Espinola and Kirk made a useful contribution on combining fixed pointtheory and graph theory. The set of fixed points of T will be denoted by Fix(T) Fix ⁡ ( T ) . Jachymski [12] used the platform of graph theory instead of partial ordering and unified the results given by authors [7,8,11]. €�The game of Hex and the Brouwer fixed-point theorem. Moreover, we establish some results on common fixed points for two multi-. Keywords: Connected graph, Fixed point, Cone metric space, ϕ− con- traction So, The metric fixed point theory has been researched extensively in the past. In mathematics, a fixed-point theorem is a result saying that a function F will have when examining a sketched graph of the cosine function; the fixed point occurs to Banach fixed-point theorem and further; these are applied in PDE theory. Keywords: fixed point theorem; multi-valued mapping; graph preserving; Reich type contraction Fixed point theory of multi-valued mappings plays a central role in . Banach space directed graph fixed point monotone nonexpansive mappings The fixed point theory for such mappings is rich and varied. In this paper, we study the existence of fixed points of monotone nonexpansive mappings defined in Banach spaces endowed with a graph. In this paper, we prove Browder's convergence theorem for G-nonexpansive mappings in a Hilbert space with a directed graph.





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