Best proximity points: approximation and optimization
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Publication:1936803
DOI10.1007/S11590-011-0404-1zbMath1283.90046OpenAlexW2140598128MaRDI QIDQ1936803
Naseer Shahzad, S. Sadiq Basha, R. Jeyaraj
Publication date: 7 February 2013
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-011-0404-1
contractionfixed pointbest proximity pointcyclic contractionoptimal approximate solutionnon-expansive mapChatterjea-type mappingKannan-type mapping
Related Items (21)
Best proximity points, cyclic Kannan maps and geodesic metric spaces ⋮ Best proximity pair and fixed point results for noncyclic mappings in modular spaces ⋮ Best proximity point results for Suzuki-Edelstein proximal contractions via auxiliary functions ⋮ Best proximity coincidence point theorems for generalized non-linear contraction mappings ⋮ Unnamed Item ⋮ BEST PROXIMITY POINT THEOREMS FOR CYCLIC QUASI-CONTRACTION MAPS IN UNIFORMLY CONVEX BANACH SPACES ⋮ Seminormal structure and fixed points of cyclic relatively nonexpansive mappings ⋮ Comments on some recent existence theorems of best proximity points for Kannan-type and Chatterjea-type mappings ⋮ A best proximity point theorem for generalized non-self-Kannan-type and Chatterjea-type mappings and Lipschitzian mappings in complete metric spaces ⋮ Some new results on cyclic relatively nonexpansive mappings in convex metric spaces ⋮ Existence and uniqueness of a solution for some nonlinear programming problems ⋮ Coincidence best proximity points for geraghty type proximal cyclic contractions ⋮ A new class of \(\mathcal{S}\)-contractions in complete metric spaces and \(\mathcal{G_{P}}\)-contractions in ordered metric spaces ⋮ A best proximity point theorem for Roger-Hardy type generalized \(F\)-contractive mappings in complete metric spaces with some examples ⋮ Best Proximity Point Theorems for Asymptotically Relatively Nonexpansive Mappings ⋮ Existence and convergence theorems for global minimization of best proximity points in Hilbert spaces ⋮ Global optimization using $\alpha$-ordered proximal contractions in metric spaces with partial orders ⋮ Best Proximity point for Z-contraction and Suzuki type Z-contraction mappings with an application to fractional calculus ⋮ Best proximity points for relatively \(u\)-continuous mappings in Banach and hyperconvex spaces ⋮ Best proximity points for some classes of proximal contractions ⋮ Coincidence best proximity points in convex metric spaces
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