Menger space
Fixed Point Theorems for Self-Mappings in a Menger Space using Contractive Control Function under CLR / JCLR-Property
... In this paper, using contractive control function and CLR / JCLR property two fixed point theorems for self-mappings in a Menger space are mainly proved and also conside[r] ...
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FIXED POINTS OF WEAK COMPATIBILITY IN MENGER SPACE
... maps. Menger [7] introduced the notion of probabilistic metric space which is a generalization of metric ...complete Menger space which is a milestone in developing fixed-point theory in ...
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Some Common Fixed Point Theorems in Menger Space
... In 1972, the notion of contraction mappings on prob- abilistic metric spaces was first introduced by Sehgal et al. [4], that is, “every contraction mapping on a complete Menger space has a unique fixed ...
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FIXED POINT THEOREM IN MENGER SPACE FOR SEMI-COMPATIBLE MAPPINGS
... Recently, Jungck and Rhoades [3] termed a pair of self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence points. Sessa [10] initiated the tradition of improving ...
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FIXED POINTS IN MENGER SPACE FOR COMPATIBILITY OF TYPE (B) AND OCCASIONALLY WEAKLY COMPATIBLE
... Karl Menger [7] has introduced the theory of probabilistic metric space in which a distribution function was used instead of non-negative real number as value of the ...PM- space corresponds to ...
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FIXED POINTS IN MENGER SPACE FOR OCCASIONALLY WEAKLY COMPATIBLE AND COMPATIBILITY OF TYPE (P)
... Recently, Jungck and Rhoades [3] termed a pair of self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence points. Sessa [9] initiated the tradition of improving ...
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FIXED POINT RESULTS IN FUZZY MENGER SPACE
... Page | 249 and Jain [8] did lot of work in this field. Very recently in 2012 the Fuzzy Probabilistic Metric Space is used by R. Shrivastav, V. Patel and V. B. Dhagat [7]. By using the work mentioned above we ...
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FIXED POINTS OF COMPATIBILITY OF TYPE () IN MENGER SPACE
... a Menger space has been introduced by Mishra ...in Menger space and gave some fixed point ...in Menger space, Jain ...in Menger space by taking a new ...
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FIXED POINT THEOREM IN MENGER SPACE VIA OCCASIONALLY WEAK COMPATIBLE MAPPINGS
... Recently, Jungck and Rhoades [5] termed a pair of self maps to be coincidentally commuting or equivalently weakly compatible if they commute at their coincidence points. Sessa [11] initiated the tradition of improving ...
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Common fixed point theorems for nonlinear contractions in a Menger space
... for all x, y ∈ X and for some < k < . Then f and g have a unique common fixed point. Definition . Let (X, F, t) be a Menger space with t(x, x) ≥ x for all x ∈ [, ] and let f , g : X → X be two ...
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Fixed point results for P-1 compatible in fuzzy Menger space
... metric space. The probabilistic generalization of metric space appears to be well adopted for the investigation of physical quantities and physiological ...of Menger space theory was due to ...
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FIXED POINT THEOREM IN MENGER SPACE
... (ii ) A sequence { 𝑥 𝑛 } in X is said to be Cauchy if for every 𝜀 > 0 and 𝜆 ∈ (0, 1) there exists an integer N such that 𝐹 𝑥 𝑛 ,𝑦 𝑚 ( 𝜀 ) > 1- 𝜆 for all n, m ≥ N. (iii ) A Menger space in which every ...
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On the global stability of an iterative scheme in a probabilistic Menger space
... metric Menger space in the following situations: (a) The iterative scheme is of a polytopic-type in the sense that the considered sequence of self-mappings is built with iteration-dependent weighting scalar ...
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Fixed point theorems for set-valued quasi-contraction maps in a Menger space
... Probabilistic metric spaces originated in 1942 by Karl Menger [1]. The notion of Menger was to replace non-negative real numbers with distribution functions as the values of the metric. An analogy between ...
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Some Fixed Point Theorems in Menger Probabilistic Partial Metric Spaces with Application to Volterra Type Integral Equation
... this space was expanded rapidly with the pioneering works of Schweizer and Sklar [20], Stevens [25] and some of their ...of Menger PM-spaces (see ...
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FIXEDPOINT THEOREMS FOR MULTIVALUED MAPPINGS ON MENGER SPACES
... metric space. One such generalization in Menger space introduced in 1942 by Menger who was use distribution function instead of non-negative real number as values of the ...
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Vol 2, No 4 (2011)
... metric space one among them is Menger space introduced in 1942 by Menger [3] who used distribution functions instead of non-negative real numbers as values of the ...
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Vol 3, No 3 (2012)
... Sessa [5] introduced weakly commuting maps in metric spaces. Jungck [1] enlarged this concept to compatible maps. The notion of compatible maps in Menger spaces has been introduced by Mishra [3]. Recently Singh ...
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Fixed Point Theorem and Semi-Compatibility in Menger Probabilistic Metric Space
... There have been a number of generalizations of metric space. One such generalization is Menger space initiated by Menger [7]. It is a probabilistic generalization in which we assign to any two ...
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OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS AND FIXED POINTS IN 2 NON-ARCHIMEDEAN MENGER PM SPACE
... of fixed point of mappings on non-Archimedean Menger space has been given by Istratescu [6]. This has been the extension of the results of Sehgal and Bharucha - Reid [16] and Sherwood [17] on a ...
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