expansive mappings.
Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings
... can also be defined as the generalization of asymptotically quasi-non-expansive mappings and nonself asymptotically nonexpansive mappings. These mappings are defined as follows. Definition ...
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Approximation of fixed points for Suzuki’s generalized non-expansive mappings
... process converges faster than all of Picard, Mann, Ishikawa, Noor, Agarwal et al., Abbas and Nazir iteration processes for contractions in the sense of Berinde [21]. Recently, Sahu et al. [10] and Thakur et al. [11] ...
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Generalized (ξ,α) expansive mappings and related fixed point theorems
... Motivated by the above ideas, we aim to give a new concept of generalized (ξ , α)- expansive mappings. The results proved in this paper extend and generalize many existing results in the literature. We also ...
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Fixed point theorems for (ξ,α)-expansive mappings in complete metric spaces
... of expansive mappings. We present a new category of expansive mappings called ( ξ , α )-expansive mappings and study various fixed point theorems for such mappings in ...
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Fixed point theorems for contractive and expansive mappings of Geraghty type on 2-metric spaces
... for mappings with contractive functions or expansive functions on 2-metric spaces, and give some new versions of the fixed point theorems on real metric ...for expansive mappings on real ...
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Some fixed and coincidence point results for expansive mappings on G-partial metric spaces
... of expansive mappings on G-partial metric spaces and proved fixed point and common fixed point theorems for a pair of those maps on G-partial metric ...two expansive maps on G-partial metric ...
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New Methods with Perturbations for Non-Expansive Mappings in Hilbert Spaces
... It is our purpose in this paper that we suggest and analyze two iterative algorithms with errors for non-expansive mappings in Hilbert spaces. We prove that the proposed iterative algorithms converge ...
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New ergodic convergence theorems for non expansive mappings and m accretive mappings
... Two new ergodic convergence theorems for approximating the common element of the set of zero points of an m-accretive mapping and the set of fixed points of an infinite family of non-expansive mappings in a ...
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FIXED POINTS OF EXPANSIVE MAPPINGS IN QUASI PARTIAL METRIC SPACES
... In this paper, we study some xed point theorems in quasi partial metric spaces using expansive mappings. Also, we derive some common xed point theorems for two compatible mappings in this framework. ...
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Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces
... On the other hand, in 6 while examining KKM maps, the authors introduced a new concept of lower upper semicontinuous function see Definition 2.1, Section 2 which is more general than the classical one. In 7, the authors ...
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Some Combined Relations between Contractive Mappings, Kannan Mappings, Reasonable Expansive Mappings, and -Stability
... In recent literature concerning fixed point theory for self-mappings T : X → X in metric spaces X, d, there are some new concepts which can be mutually related so that the inherent properties of each one might be ...
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Coincidence Points for Expansive Mappings under c Distance in Cone Metric Spaces
... defined by qx, y dx, y |x − y|. Then, obviously, X, d is a cone metric space and q is a c-distance. Consider two mappings S, T : X → X defined by Tx 2x and Sx 3x. For every k > 0, take a 2 5k/2 and b 4 5k. We ...
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Twistted ξ-(α,β) expansive mappings in metric spaces
... ζ n (a) < +∞ for each a > 0, where ζ n is the nth iterate of ζ . Also, ζ (a + b) = ζ (a) + ζ (b) for all a, b ∈ [0, ∞). Clearly, ξ (d( f x, f y)) ≥ α (gx, gy)β (gx, gy)d(gx, gy) holds for all x, y ∈ X, therefore f ...
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Simple form of a projection set in hybrid iterative schemes for non linear mappings, application of inequalities and computational experiments
... Since maximal monotone operators and weakly (or strongly) relatively non-expansive mappings have close connection with practical problems, one has a good reason to study them. During past years, much work ...
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Strong convergence of a modified iterative algorithm for hierarchical fixed point problems and variational inequalities
... It is well known that the iterative methods for finding hierarchical fixed points of non- expansive mappings can also be used to solve a convex minimization problem; see, for example, [, ] and the ...
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Expansion semigroups in probabilistic metric spaces
... Our main purpose in this paper is to present some new results on the existence and the approximation of fixed point of expansive mappings and semigroups in probabilistic metric spaces. These results are of ...
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Vol 3, No 2 (2012)
... Let X be a Banach space and C a closed subset of X. then the well known Banach Contraction Principle states that a contraction mapping of C into itself has a unique fixed point. The same holds good if we assume that only ...
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Vol 3, No 8 (2012)
... Fuzzy set was defined by Zadeh [9] in 1965, has lead to a rich growth of fuzzy mathematics. Kramosil and Michalek [7] introduced fuzzy metric space, George and Veeramani [5] modified the notion of fuzzy metric spaces ...
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Vol 3, No 8 (2012)
... “Fixed point solutions of variational inequalities for asymptotically non-expansive mappings in Banach spaces” Nonlinear Analysis 64(2006) 558-567. “Application of Banach fixed point th[r] ...
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Strong convergence of viscosity approximation methods for the fixed-point of pseudo-contractive and monotone mappings
... Viscosity approximation methods are very important, because they are applied to con- vex optimization, linear programming, monotone inclusions and elliptic differential equa- tions. In a Hilbert space, many authors have ...
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