Common fixed points of fuzzy mapping in complete quasi-pseudo metric space

Abstract

The present paper deals with the idea of quasi-pseudo metric space in fuzzy mapping. We extend some earlier result of Singh and Talwar [9].Zadeh[11] stimulated a great interest among mathematicians, engineers, biologists, economists, psychologists and experts in other areas who use mathematical methods in their research. The concept of Fuzzy Mappings was first introduced by Heilpern [3], who has proved a fixed point theorem for fuzzy contraction mappings. Afterwards the result of Heilpern [3], was extended by Bose and Sahani [1], to pair of generalized fuzzy contraction mappings. Recently, Gregori and Pastor [2], proved a fixed point theorem for fuzzy contraction mappings in left K sequentially complete quasi-pseudo metric spaces. In 2005, Sahin et. al [7] obtained common fixed point theorem for pairs of fuzzy mappings in left K sequentially complete quasi-pseudo metric spaces and right K sequentially complete quasi-pseudo metric spaces. In 2008, Pathak and Singh [6] obtained common fixed point theorems for contractive type fuzzy mappings in quasi-pseudo metric space which extend and generalize the result of Sahin et.al [7]. In 2010, Elida and Arben [4], prove common fixed point theorems for a class of fuzzy mappings in symth complete quasi metric space. In 2011, Elida and Arben [5], proved common fixed point theorem for fuzzy weakly contractive mappings in the settings of quasi metric spaces.

Fixed points of Prešić-Ćirić type fuzzy operators

“…The fixed point result of Heilpern [3] was a fuzzy analogue of the fixed point result of Nadler [2]. Subsequently, several authors obtained fixed point results for fuzzy mappings in various settings, see, e.g., [4,5,6,7,8,9,10] and the references therein.…”