[PDF] Top 20 A Result on Best Proximity Point

... fixed point that is realizable as the limit of Picard ...aforesaid result exist in the ...Fixed point theory is an indispensable tool for solving the equation Tx = x for a mapping T defined on a ... See full document

... We define a new version of proximal C-contraction and prove the existence and uniqueness of a common best proximity point for a pair of non-self functions. Then we apply our main results to get some ... See full document

... a best proximity point ((, ) is a best proximity point of T in ...main result of [] to show the existence of the best proximity point for ... See full document

... of best proximity points for a relatively u-continuous ...a result on the existence of common best proxim- ity points for a family of not necessarily commuting relatively u-continuous ... See full document

... some best proximity point results using generalized weak contractions with discontinuous control ...our result to obtain some coupled best proximity point ... See full document

... some best proximity point results were proved for various classes of ...of best proximity points can be obtained from the same results in fixed point ... See full document

... Fixed point theory focusses on the strategies for solving non-linear equations of the kind Tx = x in which T is a self mapping defined on a subset of a metric space, a normed linear space, a topological vector ... See full document

... coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric ... See full document

... unique best proximity point for such ...of best proximity ...geometrical point of view, for the cyclic Meir-Keeler contraction defined on the union of two sets, there is no ... See full document

... Abstract In 2011, Gabeleh and Akhar [3] introduced semi-cyclic-contraction and considered the existence and convergence results of best proximity points in Banach spaces. In this paper, the author ... See full document

... In this section, we first obtain best proximity point theorems for weakly contractive mapping and weakly Kannan mapping in metric spaces. Further, we extend the results to partial metric spaces. The ... See full document

... fixed point was further extended to triple fixed point by Berinde and Borcut [22] and quadrupled fixed point by Karapinar and Luong ...fixed point, one can see the research articles ([25-50] ... See full document

... a best proximity point for such mappings in complete metric spaces via the weak ...our best proximity point ...and best proximity point results from the ... See full document

... Fernández-León (J. Nonlinear Convex Anal. 15(2):313-324, 2014) can be regarded as a fixed point theorem for multivalued mappings which is modified as regards the results of Mizoguchi and Takahashi (J. Math. Anal. ... See full document

... the best proximity point of a nonself-mapping by assuming both compactness hypotheses and standard completeness ...corresponding best proximity point theorems for such ... See full document

... that best proximity point theory is closely related to the following classical result in best approximation theory, due to Kay Fan [], and its developments in other directions; see ... See full document

... fixed point theorem obtained by Sehgal and Bharucha-Reid is a general- ization of the classical Banach contraction principle and is further investigated by many authors [, ... See full document

... a best proximity point if d(x, Tx) = d(A, B), where d(A, B) = inf {d(x, y) : x ∈ A, y ∈ ...of best prox- imity ...the result in [] becomes very clear in [], however, we have not ... See full document

... new result on the existence and uniqueness of best proximity point for α -proximal Geraghty non-self mappings defined on a closed subset of a complete metric ...Our result generalized ... See full document

... Hence p(x, x ∗ ) =  and this completes the proof of the theorem. The next result is an immediate consequence of Theorem . by taking A = B and p = d. Corollary . (Banach’s contraction principle) Let (X, d) ... See full document