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DOI: 10.23952/cot.2017.7
Received May 19, 2016; Accepted December 2, 2016; Published January 6, 2017
Abstract. This paper is devoted to prove the existence of fixed points for self maps satisfying some C-class type contractive conditions in symmetric spaces. Without assuming continuity, we prove coincidence and fixed point theorems. Moreover, as an application, we provide common fixed point theorems via a family of C-class functions in a generating space of a symmetric family under a contractive condition of the Lebesgue integral type.
How to Cite this Article:
Arslan Hojat Ansari, Panda Sumati Kumari, Fixed point theorems via C-class functions in symmetric spaces, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 7, pp. 1-17.