Fractional Differential Equations

Groupes et algébres de lie

We introduce the concept of a mixed g -monotone mapping and prove coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces. Presented theorems are generalizations of the recent fixed point theorems due to Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. TMA 65 (2006) 1379–1393] and include several recent developments.

Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces

Yair Censor and Stavros A. Zenios, Oxford University Press, New York, 1997, 539 pp., ISBN 0-19-510062-X, $85.00

Parallel Optimization: Theory, Algorithms and Applications

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Metric Spaces Of Non Positive Curvature

Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

In this paper, we introduce an iterative method based on the extragradient method for finding a common element of the set of a general system of variational inequalities and the set of fixed points of a strictly pseudocontractive mapping in a real Hilbert space. Furthermore, we prove that the studied iterative method strongly converges to a common element of the set of a general system of variational inequalities and the set of fixed points of a strictly pseudocontractive mapping under some mild conditions imposed on algorithm parameters.

Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Common fixed points of compatible maps of type (b) on fuzzy metric spaces

Approximation of common solutions of variational inequalities via strict pseudocontractions

In this paper, we prove some common fixed point theorems for compatible mappings of type (P) . As applications, the existence and uniqueness of common solutions for a class of the functional equations in dynamic programming are discussed.

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Shin Min Kang

Papers

Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces

Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Common fixed points of compatible maps of type (b) on fuzzy metric spaces

Approximation of common solutions of variational inequalities via strict pseudocontractions

Fixed point theorems for compatible mappings of type (P) and applications to dynamic programming