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MR3136189 Reviewed Merghadi, F.; Godet-Thobie, C. Common fixed point theorems under contractive conditions of integral type in symmetric spaces. Demonstratio Math. 46 (2013), no. 4, 757–780. (Reviewer: Pasquale Vetro) 47H10 (47H09)

, 2014
The problem of establishing the existence of fixed points for mappings satisfying weak contractive conditions in metric spaces has been widely investigated in the last few decades. More recently, many papers have been published extending this study to various metric contexts.
Pasquale Vetro
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Fixed point theorems of generalized contraction mappings on ϖ-cone metric spaces over banach algebras

Rocky Mountain Journal of Mathematics, 2022
Without the assumptions of normality and solidness, we investigate some properties of cones with some semi-interior points in normed algebras, introduce two novel notions of S-set and S-number associated with every semi-interior point in the underlying ...
Sahar Mohamed Ali Abou Bakr
semanticscholar   +1 more source

An accelerated viscosity algorithm with self-adaptive step size for split common fixed point problem

International Mathematical Forum, 2021
In this paper, a self-adaptive step size iterative algorithm with the inertial terms is introduced to solve the split common fixed point problem for quasi-pseudo contractive mappings in real Hilbert spaces. The iterative scheme presented in this paper is
L.S. Zhang, Z. Ma, J. Xiong
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Weakly Picard mappings: Retraction-displacement condition, quasicontraction notion and weakly Picard admissible perturbation

Studia Universitatis Babeş-Bolyai. Mathematica
Let (X, d) be a metric space, f : X → X be a mapping and G(·, f (·)) be an admissible perturbation of f. In this paper we study the following problems: In which conditions imposed on f and G we have the following: (DDE) data dependence estimate for the ...
I. Rus
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A strong convergence algorithm for approximating a common solution of variational inequality and fixed point problems in real Hilbert space

Studia Universitatis Babeş-Bolyai. Mathematica
In this paper, we propose an iterative algorithm for approximating a common solution of a variational inequality and fixed-point problem. The algorithm combines the subgradient extragradient technique, inertial method and a modified viscosity approach ...
O. Oyewole, Mebawondu Akindele Adebayo, O. Mewomo   +2 more
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A New Relaxed Inertial Ishikawa-Type Algorithm for Solving Fixed Points Problems with Applications to Convex Optimization Problems

Asia Pacific Journal of Mathematics
. In this research, we present a new relaxed intertial algorithm without viscosity for solving common solution of countable family of nonexpansive mappings in real Hilbert spaces. We obtain the strong convergence results of the proposed method under some
R. E. Orim, A. Ofem, A. Maharaj, O. Narain   +3 more
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