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  • Article
    Citation - WoS: 90
    Citation - Scopus: 95
    Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces
    (Springer int Publ Ag, 2012) Tahat, Nedal; Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi
    In this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 12
    Some Integral Type Common Fixed Point Theorems Satisfying Φ-Contractive Conditions
    (Belgian Mathematical Soc Triomphe, 2014) Chauhan, Sunny; Karapinar, Erdal
    In this manuscript, we obtain some common fixed point results of two pairs having the common limit range property in the setting of integral type contraction in the framework of symmetric (semi-metric) spaces. Moreover, we extend our results from two pairs of self-mappings to four finite families of self mappings to get common fixed points. Our results improve and extend a host of previously known results. Further, we establish some illustrative examples to show the validity of the main results.
  • Article
    Citation - WoS: 13
    Citation - Scopus: 12
    Common Fixed Point Theorems of Integral Type Contraction on Metric Spaces and Its Applications To System of Functional Equations
    (Springer international Publishing Ag, 2015) Sarwar, Muhammad; Zada, Mian Bahadur; Erhan, Inci M.
    In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.