Some results related to fixed point theorems in intuitionistic fuzzy soft normed spaces

This thesis consists of five sections. Section 1 gives information about the motivation, contributions and literature review of the thesis. Section 2 recalls the basic concepts and properties related to fuzzy sets, intuitionistic fuzzy sets and soft sets, fuzzy soft sets, intuitionistic fuzzy soft sets, fuzzy and intuitionistic fuzzy normed spaces, b-metric and b-normed spaces. Section 3 presents operations of intuitionistic fuzzy soft b-rectangular normed spaces and some of their properties. In section 4, q-contractive mapping, t- uniformly continuous mapping are defined and fixed-point theorems in intuitionistic fuzzy soft normed space (IFSNS) are obtained. Also, (β, γ)- uniformly locally contractive mapping and β-chainable intuitionistic fuzzy soft normed space are introduced. Moreover, IFSNS –contraction mapping is introduced and proved fixed point theorems in intuitionistic fuzzy soft normed space. Finally, section 5 presents the discussions and conclusions about the concluded work.