IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n519038.html

Some Integral Type Fixed Point Theorems for Non‐Self‐Mappings Satisfying Generalized (ψ, φ)‐Weak Contractive Conditions in Symmetric Spaces

Author

Listed:
  • Marwan Amin Kutbi
  • Mohammad Imdad
  • Sunny Chauhan
  • Wutiphol Sintunavarat

Abstract

The aim of this paper is to obtain some new integral type fixed point theorems for nonself weakly compatible mappings in symmetric spaces satisfying generalized (ψ, φ)‐contractive conditions employing the common limit range property. We furnish some interesting examples which support our main theorems. Our results generalize and extend some recent results contained in Imdad et al. (2013) to symmetric spaces. Consequently, a host of metrical common fixed theorems are generalized and improved. In the process, we also derive a fixed point theorem for four finite families of mappings which can be utilized to derive common fixed point theorems involving any number of finite mappings.

Suggested Citation

  • Marwan Amin Kutbi & Mohammad Imdad & Sunny Chauhan & Wutiphol Sintunavarat, 2014. "Some Integral Type Fixed Point Theorems for Non‐Self‐Mappings Satisfying Generalized (ψ, φ)‐Weak Contractive Conditions in Symmetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:519038
    DOI: 10.1155/2014/519038
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/519038
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/519038?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    2. Imdad, M. & Ali, Javid & Tanveer, M., 2009. "Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3121-3129.
    3. Tomonari Suzuki, 2007. "Meir-Keeler Contractions of Integral Type Are Still Meir-Keeler Contractions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-6, December.
    4. Yicheng Liu & Jun Wu & Zhixiang Li, 2005. "Common fixed points of single-valued and multivalued maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-11, January.
    5. W. Sintunavarat & P. Kumam, 2011. "Gregus-Type Common Fixed Point Theorems for Tangential Multivalued Mappings of Integral Type in Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-12, April.
    6. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    7. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    8. E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
    9. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sunny Chauhan & M. Alamgir Khan & Wutiphol Sintunavarat, 2013. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ‐Contractive Condition with Common Limit Range Property," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Mohammad Imdad & Sunny Chauhan & Sumitra Dalal, 2013. "Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Mohammad Imdad & Sunny Chauhan, 2013. "Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems," International Journal of Analysis, Hindawi, vol. 2013, pages 1-10, May.
    4. E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
    5. Manish Jain & Neetu Gupta & Sanjay Kumar, 2014. "Coupled Fixed Point Theorems for ( )-Contractive Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications," International Journal of Analysis, Hindawi, vol. 2014, pages 1-9, March.
    6. Sumit Chandok & Simona Dinu, 2013. "Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Muhammad Shoaib & Muhammad Sarwar, 2016. "Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications," Journal of Mathematics, Hindawi, vol. 2016, pages 1-8, October.
    8. Muhammad Usman Ali & Tayyab Kamran & Erdal Karapınar, 2014. "An Approach to Existence of Fixed Points of Generalized Contractive Multivalued Mappings of Integral Type via Admissible Mapping," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Mahpeyker Öztürk, 2014. "Common Fixed Point Theorems Satisfying Contractive Type Conditions in Complex Valued Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    10. Nesrin Manav Tatar & Ravi P. Agarwal, 2023. "Best Approximation of Fixed-Point Results for Branciari Contraction of Integral Type on Generalized Modular Metric Space," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    11. Ghosh, S.K. & Nahak, C., 2020. "An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via wt-distance with an application," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    12. Manoj Kumar & Pankaj Kumar & Sanjay Kumar, 2013. "Some Common Fixed Point Theorems in Generalized Metric Spaces," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, April.
    13. Manish Jain & Kenan Tas & Sanjay Kumar & Neetu Gupta, 2012. "Coupled Fixed Point Theorems for a Pair of Weakly Compatible Maps along with CLRg Property in Fuzzy Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    14. J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.
    15. Parveen Tyagi & Surjeet Singh Chauhan (Gonder) & Naveen Mani & Rahul Shukla, 2025. "Common Fixed Points Within Framework of F‐Modular b‐Metric Space and Its Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    16. Samet, Bessem & Vetro, Calogero, 2011. "Berinde mappings in orbitally complete metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1075-1079.
    17. J. R. Morales & E. M. Rojas & Ravindra K. Bisht, 2014. "Common Fixed Points for Pairs of Mappings with Variable Contractive Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    18. Sunny Chauhan & Muhammad Alamgir Khan & Zoran Kadelburg & Mohammad Imdad, 2014. "Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    19. Mian Bahadur Zada & Muhammad Sarwar & Nayyar Mehmood, 2016. "Common Fixed Point Results for Six Mappings via Integral Contractions with Applications," International Journal of Analysis, Hindawi, vol. 2016, pages 1-13, October.
    20. Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:519038. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.