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Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Shih-sen Chang; Yu-Qing Chen; Yeol Je Cho; Byung-Soo Lee — 1998

Commentationes Mathematicae Universitatis Carolinae

Let $P$ be a cone in a Hilbert space $H$ , $A : P \to 2^{P}$ be an accretive mapping (equivalently, $- A$ be a dissipative mapping) and $T : P \to P$ be a nonexpansive mapping. In this paper, some fixed point theorems for mappings of the type $- A + T$ are established. As an application, we utilize the results presented in this paper to study the existence problem of solutions for some kind of nonlinear integral equations in $L^{2} (Ω)$ .

Strong convergence theorems for equilibrium problems and fixed point problems of strict pseudo-contraction mappings.

Zhao, Liang Cai; Chang, Shih-Sen — 2009

The Journal of Nonlinear Sciences and its Applications

On a hybrid method for generalized mixed equilibrium problem and fixed point problem of a family of quasi- $ϕ$ -asymptotically nonexpansive mappings in Banach spaces.

Liu, Min; Chang, Shih-Sen; Zuo, Ping — 2010

Fixed Point Theory and Applications [electronic only]

Modified block iterative algorithm for solving convex feasibility problems in Banach spaces.

Chang, Shih-Sen; Kim, Jong Kyu; Wang, Xiong Rui — 2010

Journal of Inequalities and Applications [electronic only]

On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.

Chang, Shih-Sen; Cho, Yeol Je; Wang, Fan — 1994

International Journal of Mathematics and Mathematical Sciences

Shrinking projection method of common solutions for generalized equilibrium quasi- $ϕ$ -nonexpansive mapping and relatively nonexpansive mapping.

Liu, Min; Chang, Shih-Sen; Zuo, Ping — 2010

Journal of Inequalities and Applications [electronic only]

Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences.

Quan, Jing; Chang, Shih-Sen; Long, Xian Jun — 2006

Fixed Point Theory and Applications [electronic only]

Some results for a finite family of uniformly $L$ -Lipschitzian mappings in Banach spaces.

Chang, Shih-Sen; Huang, Jia Lin; Wang, Xiong Rui — 2007

Fixed Point Theory and Applications [electronic only]

Common fixed point theorems and applications.

Pathak, Hemant Kumar; Chang, Shih Sen; Cho, Yeol Je; Jung, Jong Soo — 1997

International Journal of Mathematics and Mathematical Sciences

On the convergence theorems for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces.

Chang, Shih-Sen; Kim, Jong Kyu; Lee, H.W.Joseph; Chan, Chi Kin — 2011

Fixed Point Theory and Applications [electronic only]

Strong and weak convergence theorems for an infinite family of Lipschitzian pseudocontraction mappings in Banach spaces.

Chang, Shih-Sen; Wang, Xiong Rui; Lee, H.W.Joseph; Chan, Chi Kin — 2011

International Journal of Mathematics and Mathematical Sciences

Iterative approximation to convex feasibility problems in Banach space.

Chang, Shih-Sen; Yao, Jen-Chih; Kim, Jong Kyu; Yang, Li — 2007

Fixed Point Theory and Applications [electronic only]

Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces.

Tian, You Xian; Chang, Shih-Sen; Huang, Jialin; Wang, Xiongrui; Kim, J.K. — 2008

Fixed Point Theory and Applications [electronic only]

Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces.

Chang, Shih-Sen; Cho, Yeol Je; Lee, H.W.Joseph; Chan, Chi Kin — 2011

Fixed Point Theory and Applications [electronic only]

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Currently displaying 1 – 14 of 14

Fixed point theorems for nonexpansive operators with dissipative perturbations in cones

Strong convergence theorems for equilibrium problems and fixed point problems of strict pseudo-contraction mappings.

On a hybrid method for generalized mixed equilibrium problem and fixed point problem of a family of quasi- $ϕ$ -asymptotically nonexpansive mappings in Banach spaces.

Modified block iterative algorithm for solving convex feasibility problems in Banach spaces.

On the existence and uniqueness problems of solutions for set-valued and single-valued nonlinear operator equations in probabilistic normed spaces.

Shrinking projection method of common solutions for generalized equilibrium quasi- $ϕ$ -nonexpansive mapping and relatively nonexpansive mapping.

Approximation common fixed point of asymptotically quasi-nonexpansive-type mappings by the finite steps iterative sequences.

Some results for a finite family of uniformly $L$ -Lipschitzian mappings in Banach spaces.

Common fixed point theorems and applications.

On the convergence theorems for a countable family of Lipschitzian pseudocontraction mappings in Banach spaces.

Strong and weak convergence theorems for an infinite family of Lipschitzian pseudocontraction mappings in Banach spaces.

Iterative approximation to convex feasibility problems in Banach space.

Implicit iteration process for common fixed points of strictly asymptotically pseudocontractive mappings in Banach spaces.

Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces.