• Title/Summary/Keyword: existence theorems

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NONUNIQUE COINCIDENCE POINT THEOREMS FOR ĆIRIĆ TYPE MAPPINGS

  • Guan, Feng;Kang, Shin Min;Li, Jinsong;Liu, Zeqing
    • Korean Journal of Mathematics
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    • v.15 no.1
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    • pp.39-49
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    • 2007
  • A few existence results of nonunique coincidence points for some kinds of $\acute{C}$iri$\acute{c}$ type mappings in metric and pseudocompact Tichonov spaces, respectively, are proved. The results presented in this paper extend some known results in the literature.

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COUPLED FIXED POINTS FOR MIXED g-MONOTONE UNDER RATIONAL CONTRACTIVE EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES

  • Nashine, Hemant Kumar;Gupta, Anita
    • East Asian mathematical journal
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    • v.32 no.5
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    • pp.745-765
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    • 2016
  • We propose coupled fixed point theorems for maps satisfying contractive conditions involving a rational expression in the setting of partially ordered metric spaces. We also present a result on the existence and uniqueness of coupled fixed points. In particular, it is shown that the results existing in the literature are extend, generalized, unify and improved by using mixed monotone property. Given to support the useability of our results, and to distinguish them from the known ones.

FIXED POINT THEOREMS IN d-COMPLETE TOPOLOGICAL SPACES

  • Cho, Seong-Hoon;Lee, Jae-Hyun
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.1009-1015
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    • 2010
  • We prove the existence of common fixed points for three self mappings satisfying contractive conditions in d-complete topological spaces. Our results are generalizations of result of Troy L. Hicks and B. E. Roades[Troy L. Hicks and B. E. Roades, Fixed points for pairs of mappings in d-complete topological spaces, Int. J. Math. and Math. Sci., 16(2)(1993), 259-266].

Screen Slant Lightlike Submanifolds of Indefinite Kenmotsu Manifolds

  • Gupta, Ram Shankar;Upadhyay, Abhitosh
    • Kyungpook Mathematical Journal
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    • v.50 no.2
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    • pp.267-279
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    • 2010
  • In this paper, we introduce the notion of a screen slant lightlike submanifold of an indefinite Kenmotsu manifold. We provide characterization theorem for existence of screen slant lightlike submanifold with examples. Also, we give an example of a minimal screen slant lightlike submanifold of $R_2^9$ and prove some characterization theorems.

ON GENERALIZED VECTOR QUASI-VARIATIONAL TYPE INEQUALITIES

  • Cho, Y.J.;Salahuddin, Salahuddin;Ahmad, M.K.
    • East Asian mathematical journal
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    • v.26 no.1
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    • pp.49-58
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    • 2010
  • In this paper, we consider and study a new class of generalized vector quasi-variational type inequalities and obtain some existence theorems for both under compact and noncompact assumptions in topological vector spaces without using monotonicity. For the noncompact case, we use the concept of escaping sequences.

COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

  • Deshpande, Bhavana;Sharma, Sushil;Handa, Amrish
    • The Pure and Applied Mathematics
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    • v.20 no.3
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    • pp.159-180
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    • 2013
  • We establish a common fixed point theorem for mappings under ${\phi}$-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

ON THE CONSTRUCTION OF PSEUDO-FINSLER EIKONAL EQUATIONS

  • Cimdiker, Muradiye;Ekici, Cumali
    • Honam Mathematical Journal
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    • v.42 no.1
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    • pp.75-91
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    • 2020
  • In this study, we have generalized pseudo-Finsler map by introducing the concept of semi-Riemannian map and have found pseudo-Finsler eikonal equations using pseudo-Finsler map. After that, we have obtained some sufficient theorems on pseudo-Finsler manifolds for the existence of solutions to the eikonal equation. At the same time, we have introduced a natural definition for the affine maps between pseudo-Finsler manifolds and have reached the affine solutions of them.

POSITIVE SOLUTIONS OF THE SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES

  • Cao, Jianxin;Chen, Haibo;Deng, Jin
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1445-1460
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    • 2010
  • In this paper, a second-order system of multi-point boundary value problems in Banach spaces is investigated. Based on a specially constructed cone and the fixed point theorem of strict-set-contraction operators, the criterion of the existence and multiplicity of positive solutions are established. And two examples demonstrating the theoretic results are given.

SOME FIXED POINTS FOR EXPANSIVE MAPPINGS AND FAMILIES OF MAPPINGS

  • Liu, Z.;Feng, C.;Kang, S.M.;Kim, Y.S.
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.127-136
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    • 2002
  • In this paper we obtain some fixed points theorems of expansive mappings and several necessary and sufficient conditions for the existence of common fixed points of families of self-mappings in metric spaces. Our results generalize and improve the main results of Fisher [1]-[5], Furi-Vignoli [6], $Is\'{e}ki$ [7], Jungck [8], [9], Kashara-Rhoades [10], Liu [13], [14] and Sharma and Strivastava [16].

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