Browsing by Author "Rugumisa, Terentius"

Now showing 1 - 10 of 10
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    COMMON FIXED POINT FOR A PAIR OF NON-SELF MAPPINGS IN PARTIAL METRIC SPACES
    (Busan International Nonlinear Analysis Academy, 2017-06) Rugumisa, Terentius; Kumar, Santosh
    In this paper we prove a common fixed point theorem for a pair of non-self mappings in partial metric spaces. We generalize a theorem by Imdad and Kumar which was proved for metric spaces. We also provide an illustrative example.
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    COMMON FIXED POINTS FOR FOUR NON-SELF-MAPPINGS
    (Vijñāna Parishad of India: Jnanabha, 2017-12) Kumar, Santosh; Rugumisa, Terentius
    In this paper, we formulate a quasi-contraction type non-self mapping on Takahashi convex metric spaces and common fixed point theorems that applies to two pairs of mappings. The result generalizes the fixed point theorems of some previous authors
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    COMMON FIXED POINTS IN METRICALLY CONVEX PARTIAL METRIC SPACES
    (Dergi Konuralp Journal of Mathematics, 2017-12) Kumar, Santosh; Rugumisa, Terentius; Imdad, Mohd.
    In this study, we extend some common xed points theorems for mappings in metrically convex metric spaces into partial metric spaces. We generalize earlier results by Imdad et al. We also provide an illustrative example.
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    Common fixed points of a pair of multivalued non-self mappings in partial metric spaces
    (Malaya Journal of Matematik, 2018, 2018-07-01) Kumar, Santosh; Rugumisa, Terentius
    In this paper, we utilize the concept of the partial Hausdorff metric, first introduced by Aydi et al.[4] for partial metric space, to consider a pair of multivalued mappings which are non-self almost contractions on metrically convex partial metric spaces. We establish the existence of fixed point in such mappings.
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    FIXED POINTS FOR HYBRID MAPPINGS SATISFYING AN IMPLICIT RELATION IN PARTIAL METRIC SPACES
    (Jnanabha-Vijñāna Parishad of India, 2018-12-01) Kumar, Santosh; Rugumisa, Terentius
    In this paper, we prove a fi xed point theorem for hybrid mappings in partial metric spaces. The theorem contains an altering distance function and involves an implicit relation satisfying the (E.A) - property. In doing so, we generalize a theorem by Popa and Patriciu.
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    Fixed points for non-self mappings in multiplicative metric spaces
    (Malaya Journal of Matematik, Vol. 6, No. 4, 800-806, 2018, 2018-07-01) Kumar, Santosh; Rugumisa, Terentius
    In this paper, we develop a theorem for a pair of non-self mappings. For this purpose, we define a multiplicative convex metric space and state the condition for a mapping in such space to have a fixed point. We explain the procedure of locating the fixed point. We also provide an illustrative example on the use of the theorem.
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    Fixed Points of Non-Self Mappings in Partial Metric Spaces
    (Natural Sciences Publishing: Journal of Analysis & Number Theory, 2018-01) Rugumisa, Terentius; Kumar, Santosh
    A number of theorems on contractive mappings for common fixed points in partial metric spaces have been proved and many of them apply to self maps. In this paper, we extend a common fixed point theorem on a partial metric space by Karapinar et al. so that it can apply to a non-self mapping in a metrically convex partial metric space under specified conditions.
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    AN IMPLICIT RELATION FOR FOUR NON-SELF MAPPINGS IN PARTIAL METRIC SPACES
    (Jnanabha-Vijñāna Parishad of India, 2017-06) Kumar, Santosh; Rugumisa, Terentius
    Berinde and Vetro (2012) introduced fixed points theorems involving implicit relations for metric spaces and ordered metric spaces. These theorems were extended into partial metric spaces by other researchers. Vetro and Vetro studied coincidence point and common fixed point theorems for one pair of self-mappings satisfyirg conditions defined by implicit relations in the settings of partial metric space. We extend these results by Vetro and Vetro to two pairs of non-self mappings in complete partiai metric spaces having a convex structure.
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    RHOADES-TYPE FIXED POINT THEOREM FOR PARTIAL METRIC SPACES
    (Nova Publishers, 2017) Kumar, Santosh; Rugumisa, Terentius
    In this paper, we obtain a fi xed point theorem for non-self mappings in partial metric spaces. We make use of the technique by Assad and Kirk who derived fixed point theorems for metrically convex metric spaces. Our results generalize earlier results by Rhoades. An illustrative example is also provided.
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    UNIQUE COMMON FIXED POINTS FOR PAIRS OF MULTI-VALUED MAPPINGS IN PARTIAL METRIC SPACES
    (scik.org, 2017) Rugumisa, Terentius; Kumar, Santosh
    In this paper, we obtain a unique common fixed point theorems for pairs of multi-valued non-self mappings on a partial Hausdorff metric space without using any continuity or commutativity of the mappings. In doing so, we generalize a theorem by Rao and Rao