Results 71 to 80 of about 988 (114)
Best proximity point theorems for generalized contractions in partially ordered metric spaces
Fixed Point Theory and Applications, 2013 The purpose of this paper is to obtain four best proximity point theorems for generalized contractions in partially ordered metric spaces. Further, our P-operator technique, which changes a non-self mapping to a self-mapping, plays an important role ...
Jingling Zhang +2 more
semanticscholar +1 more source
Halpern-type proximal point algorithm in complete CAT(0) metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
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A New Third-Order Iteration Method for Solving Nonlinear Equations
Open Journal of Mathematical Analysis, 2018 In this paper, we establish a two step third-order iteration method for solving nonlinear equations. The efficiency index of the method is 1.442 which is greater than Newton-Raphson method.
M. Saqib +3 more
semanticscholar +1 more source
Demonstratio Mathematica, 2019 We consider the following second order evolution equation modelling a nonlinear oscillator with ...
Rouhani Behzad Djafari +1 more
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, 2013 We investigate strong convergence for Bregman strongly nonexpansive mappings by modifying Halpern and Mann’s iterations in the framework of a reflexive Banach space.
Jinhua Zhu, Shih-sen Chang
semanticscholar +1 more source
Weak Convergence of Iterative Approximation for Fixed Points of A Monotone α-nonexpansive Mapping
IOP Conference Series: Materials Science and Engineering, 2019 In this paper, a modified approximation method is introduced for finding the fixed point of α-nonexpansive mapping in a uniformly convex Banach space with a partial order.
Rong-ye Zhang
semanticscholar +1 more source
Coupling Ishikawa algorithms with hybrid techniques for pseudocontractive mappings
, 2013 It is well-known that Mann’s algorithm fails to converge for Lipschitzian pseudocontractions and strong convergence of Ishikawa’s algorithm for Lipschitzian pseudocontractions have not been achieved without compactness assumption on pseudocontractive ...
Yonghong Yao, M. Postolache, Y. Liou
semanticscholar +1 more source
On solutions of inclusion problems and fixed point problems
, 2013 An inclusion problem and a fixed point problem are investigated based on a hybrid projection method. The strong convergence of the hybrid projection method is obtained in the framework of Hilbert spaces.
Yuan Hecai
semanticscholar +1 more source
Barrier functions in the subdifferential theory
, 2019 We present a new method for proving Correa-Jofr\'e-Thibault theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions.
Ivanov, Milen, Zlateva, Nadia
core
Fixed Point Theory and Applications, 2011 We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem.
Kim Jong
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