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In this work, we obtain fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in complete C A T p (0) metric spaces for p ≥ 2 . Our results extend and improve many results in the literature. [ABSTRACT FROM AUTHOR]

In this work, some geometrical properties of Hilbert spaces are investigated in lp spaces, for p ≥ 2. As an application, we obtain an extension of the Banach Contraction Principle for best proximity points. The case of nonexpansive mappings is also discussed. [ABSTRACT FROM AUTHOR]

In this paper, based on some geometrical properties of CAT p (0) spaces, for p ≥ 2 , we obtain two fixed point results for monotone multivalued nonexpansive mappings and proximally monotone nonexpansive mappings. Which under some assumptions, reduce to coincide and generalize a fixed point result for monotone nonexpansive mappings. This work is a continuity of the previous work of Ran and Reurings, Nieto and Rodríguez-López done for monotone contraction mappings. [ABSTRACT FROM AUTHOR]

Some fixed point theorems for discontinuous mappings in Banach spaces by Berinde and Păcurar [Fixed point theorems for non-self single-valued almost contractions, Fixed Point Theory 14 (2013), 301-311] and Kirk [Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346] are extended to uniformly convex metric spaces. [ABSTRACT FROM AUTHOR]

Abstract: The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation. [ABSTRACT FROM AUTHOR]

A general viscosity iterative method for a finite family of generalized asymptotically quasi-nonexpansive mappings in a convex metric space is introduced. Special cases of the new iterative method are the viscosity iterative method of Chang et al. (Appl. Math. Comput. 212:51-59, 2009), an analogue of the viscosity iterative method of Fukhar-ud-din et al. (J. Nonlinear Convex Anal. 16:47-58, 2015) and an extension of the multistep iterative method of Yildirim and Özdemir (Arab. J. Sci. Eng. 36:393-403, 2011). Our results generalize and extend the corresponding known results in uniformly convex Banach spaces and $\operatorname{CAT}(0)$ spaces simultaneously. [ABSTRACT FROM AUTHOR]