[PDF] Top 20 Discussion on some coupled fixed point theorems

... established some coupled fixed point theorems on ordered metric spaces and applied the obtained results to the study of existence and uniqueness of solutions to a class of periodic boundary ... See full document

... We introduce the theory of asymptotical nonexpansiveness of mappings defined in the algebraic product E × E and with values in the space E. We then prove the existence of coupled fixed points of such mappings when E ... See full document

... fixed point theory (see, e.g., [–]). In this section we prove some new fixed point results on expansive mappings in the setting of a b-metric-like ...extend some old and recent fixed ... See full document

... gave some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...a coupled fixed point ... See full document

... proved some fixed point theorems in cone metric spaces showing that metric spaces really doesnot provide enough space for the fixed point ...unique fixed point for ... See full document

... of fixed point theorems in partially ordered metric spaces is one of the most active research areas in fixed point ...proved some new fixed point theorems ... See full document

... a coupled fixed point was introduced and studied by Guo and Lakshmikantham [18] and Bhaskar and Lakshmikantham ...various coupled and common coupled fixed point ... See full document

... of fixed-point theory dealing with results on fixed or common fixed-points in uniform space ...Also some fixed-point and coupled fixed-point ... See full document

... prove some fixed point theorems for coupled-nonexpansive mapping and prove strong convergence and weakly convergence theorems for a double Mann-type iterative process to ... See full document

... prove some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete quasi-metric spaces with a Q-function ... See full document

... proximity point results in many ways (see in [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...proximity point in the setting of partially ordered metric spaces has been considered in [15, 16, 17, 18, 19, ...new ... See full document

... ⊆ g(X). Also, g(X) is a complete subspace of (X, d). Now, applying Theorem 15, we obtain that F and g have a coupled coincidence point in X, that is, there exists (x, y) X × X such that gx = F (x, y) and gy ... See full document

... Then F and g have a unique coupled coincidence point (u, v), with F(u, v) = u = v = F(v, u). Corollary . Consider (X, G) to be a G-metric space endowed with an -distance called . Let F : X × X → X and g : ... See full document

... fixed point, it is easy to see that, under the assumptions made, if (x, y) and (u, v) are both coupled fixed points for F satisfying (p × p)((x, y), (x, y)) = (p × p)((u, v), (u, v)), then (x, y) = (u, ...the ... See full document

... In , Jachymski and Jóźwik [] proved that the classes S and are equivalent. Re- garding this result, we state the following fixed point theorems on G-metric spaces. Theorem . Let (X, ) be an ordered ... See full document

... of coupled fixed point and studied some nice coupled fixed point ...a coupled coincidence point of mappings. For some works on a coupled fixed point, we ... See full document

... In nonlinear functional analysis, one of the most productive tools is the fixed-point the- ory, which has numerous applications in many quantitative disciplines such as biology, chemistry, computer science, and ... See full document

... the fixed point theory, has been in the center of long lasting fascination among the mathematicians interested in many branches of mathematics, especially in nonlinear analysis (see ...and coupled ... See full document

... studied fixed point theorems for mappings satisfying different contractive conditions (see [7- ...a coupled coincidence point of a mapping F from X × X into X and a mapping g from X ... See full document

... of coupled fixed point and proved some fixed point results in this ...of coupled fixed point for a mapping in complex valued G b -metric ... See full document