scholarly journals New algorithms for approximating zeros of inverse strongly monotone maps and J-fixed points

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Charles E. Chidume ◽  
Chinedu G. Ezea
Keyword(s):  
Fixed Points ◽  
Strongly Monotone ◽  
Monotone Maps ◽  
Inverse Strongly Monotone ◽  
New Algorithms

scholarly journals Strong Convergence Theorems for a Pair of Strictly Pseudononspreading Mappings

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Bin-Chao Deng ◽  
Tong Chen
Keyword(s):  
Hilbert Space ◽  
Strong Convergence ◽  
Fixed Points ◽  
Real Hilbert Space ◽  
Convergence Theorems ◽  
Mild Conditions ◽  
Strongly Monotone

LetHbe a real Hilbert space. LetT1,T2:H→Hbek1-,k2-strictly pseudononspreading mappings; letαnandβnbe two real sequences in (0,1). For givenx0∈H, the sequencexnis generated iteratively byxn+1=βnxn+1-βnTw1αnγfxn+I-μαnBTw2xn,∀n∈N, whereTwi=1−wiI+wiTiwithi=1,2andB:H→His strongly monotone and Lipschitzian. Under some mild conditions on parametersαnandβn, we prove that the sequencexnconverges strongly to the setFixT1∩FixT2of fixed points of a pair of strictly pseudononspreading mappingsT1andT2.

Fixed points of contractive maps on dcpo's

2013 ◽  
Vol 24 (1) ◽  
Author(s):  
E. COLEBUNDERS ◽  
S. DE WACHTER ◽  
R. LOWEN
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Scott Topology ◽  
Study Approach ◽  
Special Cases ◽  
Monotone Maps ◽  
Contractive Maps ◽  
Approach Spaces

In this paper we study approach structures on dcpo's. A dcpo (X, ≤) will be endowed with several other structures: the Scott topology; an approach structure generated by a collection of weightable quasi metrics onX; and a collectionof weights corresponding to the quasi metrics. Understanding the interaction between these structures onXwill eventually lead to some fixed-point theorems for the morphisms in the category of approach spaces, which are called contractions. Existing fixed-point theorems on both monotone and non-monotone maps are obtained as special cases.

scholarly journals Δ-convergence theorems for inverse-strongly monotone mappings in CAT(0) spaces

2018 ◽  
Vol 19 (1) ◽  
pp. 45-56 ◽  
Author(s):  
Sattar Alizadeh ◽  
◽  
Hossein Dehghan ◽  
Fridoun Moradlou ◽  
◽  
...  
Keyword(s):  
Monotone Mappings ◽  
Convergence Theorems ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings
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