‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...

in this paper, existence theorems for the fuzzy volterra-fredholm integral equations of mixed type (fvfiemt) involving fuzzy number valued mappings have been investigated. then, by using banach's contraction principle, sufficient conditions for the existence of a unique solution of fvfiemt are given. finally, illustrative examples are presented to validate the obtained results.

As a generalization to Banach contraction principle, Ćirić introduced the concept of quasi-contraction mappings. In this paper, we investigate these kind of mappings in modular function spaces without the ∆2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness. 2000 Subject Classification: Primary 46E30; Secondary 47H09, 47H10.

As a generalization to Banach contraction principle, ´ Ciri´c introduced the concept of quasi-contraction mappings. In this paper, we investigate these kinds of mappings in modular function spaces without the Δ 2-condition. In particular, we prove the existence of fixed points and discuss their uniqueness.

M.Akram et al. ([1],[2]) have introduced a larger class of mappings called A-contraction, which is a proper superclass of Kannan’s [7], Bianchini’s [3] and Reich’s [8] type contractions. In the present paper, we have proved some fixed point theorems for A-contraction mappings in a 2-metric space. AMS Mathematics Subject Classification (2000): 47H10, 54H25