Fixed Point Result for αPf,g–Integral Contractive Mappings with Applications

Mecheraoui Rachid
2016 Indian Journal of Science and Technology  
Background/Objectives: In this paper, we introduced the concept of aP f,g integral contractive mappings, which is a new class of integral contractive mappings and using this notion we establish a new fixed point theorem. Findings: Our paper represents a generalization and extension of fixed point theorems for mappings satisfying contractive conditions of integral type where the contractive inequality depends on rational and irrational expression. In particular, we omitted the condition of
more » ... condition of continuity (which is a very strong condition and appear in almost all papers using contractive mapping of rational type) from many existing results. Application/Improvements: As a direct consequence, some new results of integral type for rational and irrational contraction maps are presented to illustrate our obtained result.
doi:10.17485/ijst/2016/v9i7/84188 fatcat:hf3bksoq2jgwdcj5dxhzwxt34i