Fixed point theorems for new nonlinear mappings satisfying condition (CC*)

2018 ◽  
Vol 21 (1) ◽  
Author(s):  
O. Popescu ◽  
G. Stan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Satisfying Condition ◽  
Nonlinear Mappings

Some random fixed point theorems for nonlinear mappings

2002 ◽  
Vol 50 (2) ◽  
pp. 265-274 ◽  
Author(s):  
P.Lorenzo Lorenzo Ramı́rez
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Random Fixed Point ◽  
Nonlinear Mappings

scholarly journals Notes on multidimensional fixed-point theorems

2017 ◽  
Vol 50 (1) ◽  
pp. 360-374 ◽  
Author(s):  
Habibulla Akhadkulov ◽  
Salmi M. Noorani ◽  
Azizan B. Saaban ◽  
Fathilah M. Alipiah ◽  
Habes Alsamir
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Contraction Condition ◽  
Nonlinear Mappings

Abstract In this paper we prove the existence and uniqueness of coincident (fixed) points for nonlinear mappings of any number of arguments under a (ψ, θ, φ)-weak contraction condition without O-compatibility. The obtained results extend, improve and generalize some well-known results in the literature to be discussed below. Moreover, we present an example to show the efficiency of our results.

scholarly journals Fixed point theorems for some new nonlinear mappings in Hilbert spaces

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Lai-Jiu Lin ◽  
Chih-Sheng Chuang ◽  
Zenn-Tsun Yu
Keyword(s):  
Fixed Point ◽  
Hilbert Spaces ◽  
Fixed Point Theorems ◽  
Nonlinear Mappings

scholarly journals Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Nawab Hussain ◽  
Mohamed-Aziz Taoudi
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Ordered Banach Space ◽  
Nonlinear Integral Equations ◽  
Common Fixed Point Theorems ◽  
Ordered Banach Spaces ◽  
Nonlinear Mappings

We present some new common fixed point theorems for a pair of nonlinear mappings defined on an ordered Banach space. Our results extend several earlier works. An application is given to show the usefulness and the applicability of the obtained results.

scholarly journals Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space

2018 ◽  
Vol 51 (1) ◽  
pp. 27-36
Author(s):  
Behzad Djafari Rouhani
Keyword(s):  
Hilbert Space ◽  
Fixed Point ◽  
Hilbert Spaces ◽  
Fixed Point Theorems ◽  
Ergodic Theorems ◽  
Convergence Theorems ◽  
Nonlinear Anal ◽  
Attractive Point ◽  
Nonlinear Mappings

Abstract In this paper, we introduce the notion of 2-generalized hybrid sequences, extending the notion of nonexpansive and hybrid sequences introduced and studied in our previous work [Djafari Rouhani B., Ergodic theorems for nonexpansive sequences in Hilbert spaces and related problems, Ph.D. thesis, YaleUniversity, 1981; and other published in J. Math. Anal. Appl., 1990, 2002, and 2014; Nonlinear Anal., 1997, 2002, and 2004], and prove ergodic and convergence theorems for such sequences in a Hilbert space H. Subsequently, we apply our results to prove new fixed point theorems for 2-generalized hybrid mappings, first introduced in [Maruyama T., Takahashi W., Yao M., Fixed point and mean ergodic theorems for new nonlinear mappings in Hilbert spaces, J. Nonlinear Convex Anal., 2011, 12, 185-197] and further studied in [Lin L.-J., Takahashi W., Attractive point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces, Taiwanese J. Math., 2012, 16, 1763-1779], defined on arbitrary nonempty subsets of H.

scholarly journals Multidimensional Fixed-Point Theorems in Partially Ordered Complete Partial Metric Spaces under ()-Contractivity Conditions

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
A. Roldán ◽  
J. Martínez-Moreno ◽  
C. Roldán ◽  
E. Karapınar
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partial Metric ◽  
Partially Ordered ◽  
Contractivity Condition ◽  
Partial Metric Spaces ◽  
Nonlinear Mappings

We study the existence and uniqueness of coincidence point for nonlinear mappings of any number of arguments under a weak ()-contractivity condition in partial metric spaces. The results we obtain generalize, extend, and unify several classical and very recent related results in the literature in metric spaces (see Aydi et al. (2011), Berinde and Borcut (2011), Gnana Bhaskar and Lakshmikantham (2006), Berzig and Samet (2012), Borcut and Berinde (2012), Choudhury et al. (2011), Karapınar and Luong (2012), Lakshmikantham and Ćirić (2009), Luong and Thuan (2011), and Roldán et al. (2012)) and in partial metric spaces (see Shatanawi et al. (2012)).

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